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Finding the Fourth Proportional to 158.62, 238.09 and 117.92

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Solution

The fourth proportional to 158.62, 238.09 and 117.92 is: 177.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.62 : 238.09 = 117.92 : x
  2. Step 2: Convert to fraction form
    158.62/238.09 = 117.92/x
  3. Step 3: Cross multiply
    158.62x = 238.09 × 117.92
  4. Step 4: Simplify right side
    158.62x = 28,074.98
  5. Step 5: Solve for x
    x = 28,074.98/158.62
  6. Step 6: Final answer
    x = 177.00

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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.