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Finding the Fourth Proportional to 148.35, 204.72 and 106.92

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Solution

The fourth proportional to 148.35, 204.72 and 106.92 is: 147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.35 : 204.72 = 106.92 : x
  2. Step 2: Convert to fraction form
    148.35/204.72 = 106.92/x
  3. Step 3: Cross multiply
    148.35x = 204.72 × 106.92
  4. Step 4: Simplify right side
    148.35x = 21,888.30
  5. Step 5: Solve for x
    x = 21,888.30/148.35
  6. Step 6: Final answer
    x = 147.54

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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.