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Finding the Fourth Proportional to 525.33, 788.07 and 178.55

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Solution

The fourth proportional to 525.33, 788.07 and 178.55 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.33 : 788.07 = 178.55 : x
  2. Step 2: Convert to fraction form
    525.33/788.07 = 178.55/x
  3. Step 3: Cross multiply
    525.33x = 788.07 × 178.55
  4. Step 4: Simplify right side
    525.33x = 140,711.42
  5. Step 5: Solve for x
    x = 140,711.42/525.33
  6. Step 6: Final answer
    x = 267.85

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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.