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Finding the Fourth Proportional to 452.87, 625.02 and 256.40

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Solution

The fourth proportional to 452.87, 625.02 and 256.40 is: 353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.87 : 625.02 = 256.40 : x
  2. Step 2: Convert to fraction form
    452.87/625.02 = 256.40/x
  3. Step 3: Cross multiply
    452.87x = 625.02 × 256.40
  4. Step 4: Simplify right side
    452.87x = 160,255.13
  5. Step 5: Solve for x
    x = 160,255.13/452.87
  6. Step 6: Final answer
    x = 353.87

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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.