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Finding the Fourth Proportional to 118.47, 177.71 and 46.32

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Solution

The fourth proportional to 118.47, 177.71 and 46.32 is: 69.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.47 : 177.71 = 46.32 : x
  2. Step 2: Convert to fraction form
    118.47/177.71 = 46.32/x
  3. Step 3: Cross multiply
    118.47x = 177.71 × 46.32
  4. Step 4: Simplify right side
    118.47x = 8,231.30
  5. Step 5: Solve for x
    x = 8,231.30/118.47
  6. Step 6: Final answer
    x = 69.48

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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.