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Finding the Fourth Proportional to 525, 787.41 and 216.78

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Solution

The fourth proportional to 525, 787.41 and 216.78 is: 325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 787.41 = 216.78 : x
  2. Step 2: Convert to fraction form
    525/787.41 = 216.78/x
  3. Step 3: Cross multiply
    525x = 787.41 × 216.78
  4. Step 4: Simplify right side
    525x = 170,694.74
  5. Step 5: Solve for x
    x = 170,694.74/525
  6. Step 6: Final answer
    x = 325.13

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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.