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Finding the Fourth Proportional to 149.03, 224.68 and 138.59

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Solution

The fourth proportional to 149.03, 224.68 and 138.59 is: 208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.03 : 224.68 = 138.59 : x
  2. Step 2: Convert to fraction form
    149.03/224.68 = 138.59/x
  3. Step 3: Cross multiply
    149.03x = 224.68 × 138.59
  4. Step 4: Simplify right side
    149.03x = 31,138.40
  5. Step 5: Solve for x
    x = 31,138.40/149.03
  6. Step 6: Final answer
    x = 208.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.