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Finding the Fourth Proportional to 148.84, 205.46 and 106.86

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Solution

The fourth proportional to 148.84, 205.46 and 106.86 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.84 : 205.46 = 106.86 : x
  2. Step 2: Convert to fraction form
    148.84/205.46 = 106.86/x
  3. Step 3: Cross multiply
    148.84x = 205.46 × 106.86
  4. Step 4: Simplify right side
    148.84x = 21,955.46
  5. Step 5: Solve for x
    x = 21,955.46/148.84
  6. Step 6: Final answer
    x = 147.51

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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.