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Finding the Fourth Proportional to 525.31, 787.92 and 216.97

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Solution

The fourth proportional to 525.31, 787.92 and 216.97 is: 325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.31 : 787.92 = 216.97 : x
  2. Step 2: Convert to fraction form
    525.31/787.92 = 216.97/x
  3. Step 3: Cross multiply
    525.31x = 787.92 × 216.97
  4. Step 4: Simplify right side
    525.31x = 170,955.00
  5. Step 5: Solve for x
    x = 170,955.00/525.31
  6. Step 6: Final answer
    x = 325.44

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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.