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Finding the Fourth Proportional to 188.62, 281.82 and 152.17

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Solution

The fourth proportional to 188.62, 281.82 and 152.17 is: 227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.62 : 281.82 = 152.17 : x
  2. Step 2: Convert to fraction form
    188.62/281.82 = 152.17/x
  3. Step 3: Cross multiply
    188.62x = 281.82 × 152.17
  4. Step 4: Simplify right side
    188.62x = 42,884.42
  5. Step 5: Solve for x
    x = 42,884.42/188.62
  6. Step 6: Final answer
    x = 227.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.