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Finding the Fourth Proportional to 258.31, 387.13 and 111.89

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Solution

The fourth proportional to 258.31, 387.13 and 111.89 is: 167.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.31 : 387.13 = 111.89 : x
  2. Step 2: Convert to fraction form
    258.31/387.13 = 111.89/x
  3. Step 3: Cross multiply
    258.31x = 387.13 × 111.89
  4. Step 4: Simplify right side
    258.31x = 43,315.98
  5. Step 5: Solve for x
    x = 43,315.98/258.31
  6. Step 6: Final answer
    x = 167.69

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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.