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Finding the Fourth Proportional to 149.28, 224.05 and 139.22

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Solution

The fourth proportional to 149.28, 224.05 and 139.22 is: 208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 224.05 = 139.22 : x
  2. Step 2: Convert to fraction form
    149.28/224.05 = 139.22/x
  3. Step 3: Cross multiply
    149.28x = 224.05 × 139.22
  4. Step 4: Simplify right side
    149.28x = 31,192.24
  5. Step 5: Solve for x
    x = 31,192.24/149.28
  6. Step 6: Final answer
    x = 208.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.