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Finding the Fourth Proportional to 187.01, 280.17 and 117.62

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Solution

The fourth proportional to 187.01, 280.17 and 117.62 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.01 : 280.17 = 117.62 : x
  2. Step 2: Convert to fraction form
    187.01/280.17 = 117.62/x
  3. Step 3: Cross multiply
    187.01x = 280.17 × 117.62
  4. Step 4: Simplify right side
    187.01x = 32,953.60
  5. Step 5: Solve for x
    x = 32,953.60/187.01
  6. Step 6: Final answer
    x = 176.21

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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.