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Finding the Fourth Proportional to 258.23, 387.34 and 65.86

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Solution

The fourth proportional to 258.23, 387.34 and 65.86 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.23 : 387.34 = 65.86 : x
  2. Step 2: Convert to fraction form
    258.23/387.34 = 65.86/x
  3. Step 3: Cross multiply
    258.23x = 387.34 × 65.86
  4. Step 4: Simplify right side
    258.23x = 25,508.28
  5. Step 5: Solve for x
    x = 25,508.28/258.23
  6. Step 6: Final answer
    x = 98.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.