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Finding the Fourth Proportional to 148.81, 205.25 and 106.70

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Solution

The fourth proportional to 148.81, 205.25 and 106.70 is: 147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.81 : 205.25 = 106.70 : x
  2. Step 2: Convert to fraction form
    148.81/205.25 = 106.70/x
  3. Step 3: Cross multiply
    148.81x = 205.25 × 106.70
  4. Step 4: Simplify right side
    148.81x = 21,900.95
  5. Step 5: Solve for x
    x = 21,900.95/148.81
  6. Step 6: Final answer
    x = 147.18

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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.