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Finding the Fourth Proportional to 265.51, 366.44 and 149.05

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Solution

The fourth proportional to 265.51, 366.44 and 149.05 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.51 : 366.44 = 149.05 : x
  2. Step 2: Convert to fraction form
    265.51/366.44 = 149.05/x
  3. Step 3: Cross multiply
    265.51x = 366.44 × 149.05
  4. Step 4: Simplify right side
    265.51x = 54,617.14
  5. Step 5: Solve for x
    x = 54,617.14/265.51
  6. Step 6: Final answer
    x = 205.71

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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.