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Finding the Fourth Proportional to 188.74, 282.87 and 97.24

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Solution

The fourth proportional to 188.74, 282.87 and 97.24 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.74 : 282.87 = 97.24 : x
  2. Step 2: Convert to fraction form
    188.74/282.87 = 97.24/x
  3. Step 3: Cross multiply
    188.74x = 282.87 × 97.24
  4. Step 4: Simplify right side
    188.74x = 27,506.28
  5. Step 5: Solve for x
    x = 27,506.28/188.74
  6. Step 6: Final answer
    x = 145.74

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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.