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Finding the Fourth Proportional to 150.93, 224.91 and 138.78

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Solution

The fourth proportional to 150.93, 224.91 and 138.78 is: 206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 224.91 = 138.78 : x
  2. Step 2: Convert to fraction form
    150.93/224.91 = 138.78/x
  3. Step 3: Cross multiply
    150.93x = 224.91 × 138.78
  4. Step 4: Simplify right side
    150.93x = 31,213.01
  5. Step 5: Solve for x
    x = 31,213.01/150.93
  6. Step 6: Final answer
    x = 206.80

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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.