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Finding the Fourth Proportional to 188.59, 284.17 and 155.10

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Solution

The fourth proportional to 188.59, 284.17 and 155.10 is: 233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.59 : 284.17 = 155.10 : x
  2. Step 2: Convert to fraction form
    188.59/284.17 = 155.10/x
  3. Step 3: Cross multiply
    188.59x = 284.17 × 155.10
  4. Step 4: Simplify right side
    188.59x = 44,073.70
  5. Step 5: Solve for x
    x = 44,073.70/188.59
  6. Step 6: Final answer
    x = 233.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.