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Finding the Fourth Proportional to 224.01, 308.89 and 149.30

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Solution

The fourth proportional to 224.01, 308.89 and 149.30 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.01 : 308.89 = 149.30 : x
  2. Step 2: Convert to fraction form
    224.01/308.89 = 149.30/x
  3. Step 3: Cross multiply
    224.01x = 308.89 × 149.30
  4. Step 4: Simplify right side
    224.01x = 46,117.08
  5. Step 5: Solve for x
    x = 46,117.08/224.01
  6. Step 6: Final answer
    x = 205.87

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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.