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Finding the Fourth Proportional to 188.42, 282.56 and 71.24

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Solution

The fourth proportional to 188.42, 282.56 and 71.24 is: 106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.42 : 282.56 = 71.24 : x
  2. Step 2: Convert to fraction form
    188.42/282.56 = 71.24/x
  3. Step 3: Cross multiply
    188.42x = 282.56 × 71.24
  4. Step 4: Simplify right side
    188.42x = 20,127.81
  5. Step 5: Solve for x
    x = 20,127.81/188.42
  6. Step 6: Final answer
    x = 106.83

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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.