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Finding the Fourth Proportional to 521.30, 782.22 and 232.76

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Solution

The fourth proportional to 521.30, 782.22 and 232.76 is: 349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.30 : 782.22 = 232.76 : x
  2. Step 2: Convert to fraction form
    521.30/782.22 = 232.76/x
  3. Step 3: Cross multiply
    521.30x = 782.22 × 232.76
  4. Step 4: Simplify right side
    521.30x = 182,069.53
  5. Step 5: Solve for x
    x = 182,069.53/521.30
  6. Step 6: Final answer
    x = 349.26

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