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Finding the Fourth Proportional to 147.80, 220.47 and 143.37

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Solution

The fourth proportional to 147.80, 220.47 and 143.37 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 220.47 = 143.37 : x
  2. Step 2: Convert to fraction form
    147.80/220.47 = 143.37/x
  3. Step 3: Cross multiply
    147.80x = 220.47 × 143.37
  4. Step 4: Simplify right side
    147.80x = 31,608.78
  5. Step 5: Solve for x
    x = 31,608.78/147.80
  6. Step 6: Final answer
    x = 213.87

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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.