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Finding the Fourth Proportional to 609.50, 914.16 and 219.42

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Solution

The fourth proportional to 609.50, 914.16 and 219.42 is: 329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 914.16 = 219.42 : x
  2. Step 2: Convert to fraction form
    609.50/914.16 = 219.42/x
  3. Step 3: Cross multiply
    609.50x = 914.16 × 219.42
  4. Step 4: Simplify right side
    609.50x = 200,584.99
  5. Step 5: Solve for x
    x = 200,584.99/609.50
  6. Step 6: Final answer
    x = 329.10

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.