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Finding the Fourth Proportional to 258.10, 356.17 and 141.66

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Solution

The fourth proportional to 258.10, 356.17 and 141.66 is: 195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.10 : 356.17 = 141.66 : x
  2. Step 2: Convert to fraction form
    258.10/356.17 = 141.66/x
  3. Step 3: Cross multiply
    258.10x = 356.17 × 141.66
  4. Step 4: Simplify right side
    258.10x = 50,454.69
  5. Step 5: Solve for x
    x = 50,454.69/258.10
  6. Step 6: Final answer
    x = 195.49

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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.