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Finding the Fourth Proportional to 148.69, 221 and 140.05

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Solution

The fourth proportional to 148.69, 221 and 140.05 is: 208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.69 : 221 = 140.05 : x
  2. Step 2: Convert to fraction form
    148.69/221 = 140.05/x
  3. Step 3: Cross multiply
    148.69x = 221 × 140.05
  4. Step 4: Simplify right side
    148.69x = 30,951.05
  5. Step 5: Solve for x
    x = 30,951.05/148.69
  6. Step 6: Final answer
    x = 208.16

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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.