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Finding the Fourth Proportional to 158.56, 239.08 and 147.04

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Solution

The fourth proportional to 158.56, 239.08 and 147.04 is: 221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.56 : 239.08 = 147.04 : x
  2. Step 2: Convert to fraction form
    158.56/239.08 = 147.04/x
  3. Step 3: Cross multiply
    158.56x = 239.08 × 147.04
  4. Step 4: Simplify right side
    158.56x = 35,154.32
  5. Step 5: Solve for x
    x = 35,154.32/158.56
  6. Step 6: Final answer
    x = 221.71

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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.