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Finding the Fourth Proportional to 148.26, 220.96 and 141.30

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Solution

The fourth proportional to 148.26, 220.96 and 141.30 is: 210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 220.96 = 141.30 : x
  2. Step 2: Convert to fraction form
    148.26/220.96 = 141.30/x
  3. Step 3: Cross multiply
    148.26x = 220.96 × 141.30
  4. Step 4: Simplify right side
    148.26x = 31,221.65
  5. Step 5: Solve for x
    x = 31,221.65/148.26
  6. Step 6: Final answer
    x = 210.59

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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.