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Finding the Fourth Proportional to 150.52, 226.67 and 127.78

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Solution

The fourth proportional to 150.52, 226.67 and 127.78 is: 192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 226.67 = 127.78 : x
  2. Step 2: Convert to fraction form
    150.52/226.67 = 127.78/x
  3. Step 3: Cross multiply
    150.52x = 226.67 × 127.78
  4. Step 4: Simplify right side
    150.52x = 28,963.89
  5. Step 5: Solve for x
    x = 28,963.89/150.52
  6. Step 6: Final answer
    x = 192.43

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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.