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Finding the Fourth Proportional to 158.68, 217.91 and 147.41

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Solution

The fourth proportional to 158.68, 217.91 and 147.41 is: 202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.68 : 217.91 = 147.41 : x
  2. Step 2: Convert to fraction form
    158.68/217.91 = 147.41/x
  3. Step 3: Cross multiply
    158.68x = 217.91 × 147.41
  4. Step 4: Simplify right side
    158.68x = 32,122.11
  5. Step 5: Solve for x
    x = 32,122.11/158.68
  6. Step 6: Final answer
    x = 202.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.