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Finding the Fourth Proportional to 332.82, 498.92 and 178.52

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Solution

The fourth proportional to 332.82, 498.92 and 178.52 is: 267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.82 : 498.92 = 178.52 : x
  2. Step 2: Convert to fraction form
    332.82/498.92 = 178.52/x
  3. Step 3: Cross multiply
    332.82x = 498.92 × 178.52
  4. Step 4: Simplify right side
    332.82x = 89,063.81
  5. Step 5: Solve for x
    x = 89,063.81/332.82
  6. Step 6: Final answer
    x = 267.60

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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.