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Finding the Fourth Proportional to 415.50, 623.26 and 324.28

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Solution

The fourth proportional to 415.50, 623.26 and 324.28 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.50 : 623.26 = 324.28 : x
  2. Step 2: Convert to fraction form
    415.50/623.26 = 324.28/x
  3. Step 3: Cross multiply
    415.50x = 623.26 × 324.28
  4. Step 4: Simplify right side
    415.50x = 202,108.82
  5. Step 5: Solve for x
    x = 202,108.82/415.50
  6. Step 6: Final answer
    x = 486.42

Related Problems

Find fourth proportional to 207.75, 311.63 and 162.14
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.