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Finding the Fourth Proportional to 452.87, 624.99 and 256.39

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Solution

The fourth proportional to 452.87, 624.99 and 256.39 is: 353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.87 : 624.99 = 256.39 : x
  2. Step 2: Convert to fraction form
    452.87/624.99 = 256.39/x
  3. Step 3: Cross multiply
    452.87x = 624.99 × 256.39
  4. Step 4: Simplify right side
    452.87x = 160,241.19
  5. Step 5: Solve for x
    x = 160,241.19/452.87
  6. Step 6: Final answer
    x = 353.83

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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.