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Finding the Fourth Proportional to 148.80, 220.08 and 148.80

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Solution

The fourth proportional to 148.80, 220.08 and 148.80 is: 220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.80 : 220.08 = 148.80 : x
  2. Step 2: Convert to fraction form
    148.80/220.08 = 148.80/x
  3. Step 3: Cross multiply
    148.80x = 220.08 × 148.80
  4. Step 4: Simplify right side
    148.80x = 32,747.90
  5. Step 5: Solve for x
    x = 32,747.90/148.80
  6. Step 6: Final answer
    x = 220.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.