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Finding the Fourth Proportional to 187.62, 280.99 and 100.74

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Solution

The fourth proportional to 187.62, 280.99 and 100.74 is: 150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.62 : 280.99 = 100.74 : x
  2. Step 2: Convert to fraction form
    187.62/280.99 = 100.74/x
  3. Step 3: Cross multiply
    187.62x = 280.99 × 100.74
  4. Step 4: Simplify right side
    187.62x = 28,307.55
  5. Step 5: Solve for x
    x = 28,307.55/187.62
  6. Step 6: Final answer
    x = 150.87

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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.