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Finding the Fourth Proportional to 148.89, 206.35 and 146.61

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Solution

The fourth proportional to 148.89, 206.35 and 146.61 is: 203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.89 : 206.35 = 146.61 : x
  2. Step 2: Convert to fraction form
    148.89/206.35 = 146.61/x
  3. Step 3: Cross multiply
    148.89x = 206.35 × 146.61
  4. Step 4: Simplify right side
    148.89x = 30,252.76
  5. Step 5: Solve for x
    x = 30,252.76/148.89
  6. Step 6: Final answer
    x = 203.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.