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Finding the Fourth Proportional to 521.25, 782.18 and 232.70

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Solution

The fourth proportional to 521.25, 782.18 and 232.70 is: 349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.25 : 782.18 = 232.70 : x
  2. Step 2: Convert to fraction form
    521.25/782.18 = 232.70/x
  3. Step 3: Cross multiply
    521.25x = 782.18 × 232.70
  4. Step 4: Simplify right side
    521.25x = 182,008.21
  5. Step 5: Solve for x
    x = 182,008.21/521.25
  6. Step 6: Final answer
    x = 349.18

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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.