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Finding the Fourth Proportional to 150.29, 224.33 and 139.59

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Solution

The fourth proportional to 150.29, 224.33 and 139.59 is: 208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 224.33 = 139.59 : x
  2. Step 2: Convert to fraction form
    150.29/224.33 = 139.59/x
  3. Step 3: Cross multiply
    150.29x = 224.33 × 139.59
  4. Step 4: Simplify right side
    150.29x = 31,314.22
  5. Step 5: Solve for x
    x = 31,314.22/150.29
  6. Step 6: Final answer
    x = 208.36

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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.