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Finding the Fourth Proportional to 148.97, 205.65 and 100.10

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Solution

The fourth proportional to 148.97, 205.65 and 100.10 is: 138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 205.65 = 100.10 : x
  2. Step 2: Convert to fraction form
    148.97/205.65 = 100.10/x
  3. Step 3: Cross multiply
    148.97x = 205.65 × 100.10
  4. Step 4: Simplify right side
    148.97x = 20,586.45
  5. Step 5: Solve for x
    x = 20,586.45/148.97
  6. Step 6: Final answer
    x = 138.20

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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.