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Finding the Fourth Proportional to 452.31, 624.33 and 265.87

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Solution

The fourth proportional to 452.31, 624.33 and 265.87 is: 366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 624.33 = 265.87 : x
  2. Step 2: Convert to fraction form
    452.31/624.33 = 265.87/x
  3. Step 3: Cross multiply
    452.31x = 624.33 × 265.87
  4. Step 4: Simplify right side
    452.31x = 165,990.40
  5. Step 5: Solve for x
    x = 165,990.40/452.31
  6. Step 6: Final answer
    x = 366.99

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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.