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Finding the Fourth Proportional to 354.80, 532.65 and 252.14

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Solution

The fourth proportional to 354.80, 532.65 and 252.14 is: 378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.80 : 532.65 = 252.14 : x
  2. Step 2: Convert to fraction form
    354.80/532.65 = 252.14/x
  3. Step 3: Cross multiply
    354.80x = 532.65 × 252.14
  4. Step 4: Simplify right side
    354.80x = 134,299.71
  5. Step 5: Solve for x
    x = 134,299.71/354.80
  6. Step 6: Final answer
    x = 378.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.