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Finding the Fourth Proportional to 150.74, 207.78 and 138.82

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Solution

The fourth proportional to 150.74, 207.78 and 138.82 is: 191.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 207.78 = 138.82 : x
  2. Step 2: Convert to fraction form
    150.74/207.78 = 138.82/x
  3. Step 3: Cross multiply
    150.74x = 207.78 × 138.82
  4. Step 4: Simplify right side
    150.74x = 28,844.02
  5. Step 5: Solve for x
    x = 28,844.02/150.74
  6. Step 6: Final answer
    x = 191.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.