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Finding the Fourth Proportional to 147.99, 220.92 and 127.71

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Solution

The fourth proportional to 147.99, 220.92 and 127.71 is: 190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.99 : 220.92 = 127.71 : x
  2. Step 2: Convert to fraction form
    147.99/220.92 = 127.71/x
  3. Step 3: Cross multiply
    147.99x = 220.92 × 127.71
  4. Step 4: Simplify right side
    147.99x = 28,213.69
  5. Step 5: Solve for x
    x = 28,213.69/147.99
  6. Step 6: Final answer
    x = 190.65

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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.