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Finding the Fourth Proportional to 332.32, 498.18 and 139.96

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Solution

The fourth proportional to 332.32, 498.18 and 139.96 is: 209.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.32 : 498.18 = 139.96 : x
  2. Step 2: Convert to fraction form
    332.32/498.18 = 139.96/x
  3. Step 3: Cross multiply
    332.32x = 498.18 × 139.96
  4. Step 4: Simplify right side
    332.32x = 69,725.27
  5. Step 5: Solve for x
    x = 69,725.27/332.32
  6. Step 6: Final answer
    x = 209.81

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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.