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Finding the Fourth Proportional to 148.11, 204.28 and 89.10

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Solution

The fourth proportional to 148.11, 204.28 and 89.10 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.11 : 204.28 = 89.10 : x
  2. Step 2: Convert to fraction form
    148.11/204.28 = 89.10/x
  3. Step 3: Cross multiply
    148.11x = 204.28 × 89.10
  4. Step 4: Simplify right side
    148.11x = 18,200.33
  5. Step 5: Solve for x
    x = 18,200.33/148.11
  6. Step 6: Final answer
    x = 122.88

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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.