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Finding the Fourth Proportional to 258.92, 387.54 and 220.04

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Solution

The fourth proportional to 258.92, 387.54 and 220.04 is: 329.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 387.54 = 220.04 : x
  2. Step 2: Convert to fraction form
    258.92/387.54 = 220.04/x
  3. Step 3: Cross multiply
    258.92x = 387.54 × 220.04
  4. Step 4: Simplify right side
    258.92x = 85,274.30
  5. Step 5: Solve for x
    x = 85,274.30/258.92
  6. Step 6: Final answer
    x = 329.35

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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.