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Finding the Fourth Proportional to 452.72, 624.80 and 256.28

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Solution

The fourth proportional to 452.72, 624.80 and 256.28 is: 353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.72 : 624.80 = 256.28 : x
  2. Step 2: Convert to fraction form
    452.72/624.80 = 256.28/x
  3. Step 3: Cross multiply
    452.72x = 624.80 × 256.28
  4. Step 4: Simplify right side
    452.72x = 160,123.74
  5. Step 5: Solve for x
    x = 160,123.74/452.72
  6. Step 6: Final answer
    x = 353.69

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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.