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Finding the Fourth Proportional to 452.71, 624.80 and 256.22

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Solution

The fourth proportional to 452.71, 624.80 and 256.22 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.71 : 624.80 = 256.22 : x
  2. Step 2: Convert to fraction form
    452.71/624.80 = 256.22/x
  3. Step 3: Cross multiply
    452.71x = 624.80 × 256.22
  4. Step 4: Simplify right side
    452.71x = 160,086.12
  5. Step 5: Solve for x
    x = 160,086.12/452.71
  6. Step 6: Final answer
    x = 353.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.