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Finding the Fourth Proportional to 148.68, 203.97 and 140.40

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Solution

The fourth proportional to 148.68, 203.97 and 140.40 is: 192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 203.97 = 140.40 : x
  2. Step 2: Convert to fraction form
    148.68/203.97 = 140.40/x
  3. Step 3: Cross multiply
    148.68x = 203.97 × 140.40
  4. Step 4: Simplify right side
    148.68x = 28,637.39
  5. Step 5: Solve for x
    x = 28,637.39/148.68
  6. Step 6: Final answer
    x = 192.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.