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Finding the Fourth Proportional to 265.49, 366.39 and 149.05

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Solution

The fourth proportional to 265.49, 366.39 and 149.05 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.49 : 366.39 = 149.05 : x
  2. Step 2: Convert to fraction form
    265.49/366.39 = 149.05/x
  3. Step 3: Cross multiply
    265.49x = 366.39 × 149.05
  4. Step 4: Simplify right side
    265.49x = 54,610.43
  5. Step 5: Solve for x
    x = 54,610.43/265.49
  6. Step 6: Final answer
    x = 205.70

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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.