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Finding the Fourth Proportional to 150.80, 208.68 and 147.20

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Solution

The fourth proportional to 150.80, 208.68 and 147.20 is: 203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.80 : 208.68 = 147.20 : x
  2. Step 2: Convert to fraction form
    150.80/208.68 = 147.20/x
  3. Step 3: Cross multiply
    150.80x = 208.68 × 147.20
  4. Step 4: Simplify right side
    150.80x = 30,717.70
  5. Step 5: Solve for x
    x = 30,717.70/150.80
  6. Step 6: Final answer
    x = 203.70

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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.