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Finding the Fourth Proportional to 258.20, 387.33 and 75.59

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Solution

The fourth proportional to 258.20, 387.33 and 75.59 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.20 : 387.33 = 75.59 : x
  2. Step 2: Convert to fraction form
    258.20/387.33 = 75.59/x
  3. Step 3: Cross multiply
    258.20x = 387.33 × 75.59
  4. Step 4: Simplify right side
    258.20x = 29,278.27
  5. Step 5: Solve for x
    x = 29,278.27/258.20
  6. Step 6: Final answer
    x = 113.39

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