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Finding the Fourth Proportional to 151.02, 227.68 and 127.13

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Solution

The fourth proportional to 151.02, 227.68 and 127.13 is: 191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.02 : 227.68 = 127.13 : x
  2. Step 2: Convert to fraction form
    151.02/227.68 = 127.13/x
  3. Step 3: Cross multiply
    151.02x = 227.68 × 127.13
  4. Step 4: Simplify right side
    151.02x = 28,943.50
  5. Step 5: Solve for x
    x = 28,943.50/151.02
  6. Step 6: Final answer
    x = 191.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.