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Finding the Fourth Proportional to 258.13, 387.06 and 75.47

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Solution

The fourth proportional to 258.13, 387.06 and 75.47 is: 113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.13 : 387.06 = 75.47 : x
  2. Step 2: Convert to fraction form
    258.13/387.06 = 75.47/x
  3. Step 3: Cross multiply
    258.13x = 387.06 × 75.47
  4. Step 4: Simplify right side
    258.13x = 29,211.42
  5. Step 5: Solve for x
    x = 29,211.42/258.13
  6. Step 6: Final answer
    x = 113.17

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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.