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Finding the Fourth Proportional to 148.20, 204.52 and 108.76

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Solution

The fourth proportional to 148.20, 204.52 and 108.76 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.20 : 204.52 = 108.76 : x
  2. Step 2: Convert to fraction form
    148.20/204.52 = 108.76/x
  3. Step 3: Cross multiply
    148.20x = 204.52 × 108.76
  4. Step 4: Simplify right side
    148.20x = 22,243.60
  5. Step 5: Solve for x
    x = 22,243.60/148.20
  6. Step 6: Final answer
    x = 150.09

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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.