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Finding the Fourth Proportional to 525.18, 787.80 and 178.55

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Solution

The fourth proportional to 525.18, 787.80 and 178.55 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.18 : 787.80 = 178.55 : x
  2. Step 2: Convert to fraction form
    525.18/787.80 = 178.55/x
  3. Step 3: Cross multiply
    525.18x = 787.80 × 178.55
  4. Step 4: Simplify right side
    525.18x = 140,658.66
  5. Step 5: Solve for x
    x = 140,658.66/525.18
  6. Step 6: Final answer
    x = 267.83

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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.