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Finding the Fourth Proportional to 150.78, 224.97 and 138.63

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Solution

The fourth proportional to 150.78, 224.97 and 138.63 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.78 : 224.97 = 138.63 : x
  2. Step 2: Convert to fraction form
    150.78/224.97 = 138.63/x
  3. Step 3: Cross multiply
    150.78x = 224.97 × 138.63
  4. Step 4: Simplify right side
    150.78x = 31,187.59
  5. Step 5: Solve for x
    x = 31,187.59/150.78
  6. Step 6: Final answer
    x = 206.84

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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.