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Finding the Fourth Proportional to 514.60, 772.06 and 226.28

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Solution

The fourth proportional to 514.60, 772.06 and 226.28 is: 339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.60 : 772.06 = 226.28 : x
  2. Step 2: Convert to fraction form
    514.60/772.06 = 226.28/x
  3. Step 3: Cross multiply
    514.60x = 772.06 × 226.28
  4. Step 4: Simplify right side
    514.60x = 174,701.74
  5. Step 5: Solve for x
    x = 174,701.74/514.60
  6. Step 6: Final answer
    x = 339.49

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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.