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Finding the Fourth Proportional to 258.69, 387.99 and 94.17

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Solution

The fourth proportional to 258.69, 387.99 and 94.17 is: 141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.69 : 387.99 = 94.17 : x
  2. Step 2: Convert to fraction form
    258.69/387.99 = 94.17/x
  3. Step 3: Cross multiply
    258.69x = 387.99 × 94.17
  4. Step 4: Simplify right side
    258.69x = 36,537.02
  5. Step 5: Solve for x
    x = 36,537.02/258.69
  6. Step 6: Final answer
    x = 141.24

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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.