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Finding the Fourth Proportional to 148.84, 221.63 and 140.92

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Solution

The fourth proportional to 148.84, 221.63 and 140.92 is: 209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.84 : 221.63 = 140.92 : x
  2. Step 2: Convert to fraction form
    148.84/221.63 = 140.92/x
  3. Step 3: Cross multiply
    148.84x = 221.63 × 140.92
  4. Step 4: Simplify right side
    148.84x = 31,232.10
  5. Step 5: Solve for x
    x = 31,232.10/148.84
  6. Step 6: Final answer
    x = 209.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.