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Finding the Fourth Proportional to 148.68, 204.72 and 134.84

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Solution

The fourth proportional to 148.68, 204.72 and 134.84 is: 185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 204.72 = 134.84 : x
  2. Step 2: Convert to fraction form
    148.68/204.72 = 134.84/x
  3. Step 3: Cross multiply
    148.68x = 204.72 × 134.84
  4. Step 4: Simplify right side
    148.68x = 27,604.45
  5. Step 5: Solve for x
    x = 27,604.45/148.68
  6. Step 6: Final answer
    x = 185.66

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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.