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Finding the Fourth Proportional to 158.14, 218.08 and 149.49

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Solution

The fourth proportional to 158.14, 218.08 and 149.49 is: 206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 218.08 = 149.49 : x
  2. Step 2: Convert to fraction form
    158.14/218.08 = 149.49/x
  3. Step 3: Cross multiply
    158.14x = 218.08 × 149.49
  4. Step 4: Simplify right side
    158.14x = 32,600.78
  5. Step 5: Solve for x
    x = 32,600.78/158.14
  6. Step 6: Final answer
    x = 206.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.