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Finding the Fourth Proportional to 150.11, 224.07 and 139.43

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Solution

The fourth proportional to 150.11, 224.07 and 139.43 is: 208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.11 : 224.07 = 139.43 : x
  2. Step 2: Convert to fraction form
    150.11/224.07 = 139.43/x
  3. Step 3: Cross multiply
    150.11x = 224.07 × 139.43
  4. Step 4: Simplify right side
    150.11x = 31,240.96
  5. Step 5: Solve for x
    x = 31,240.96/150.11
  6. Step 6: Final answer
    x = 208.13

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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.