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Finding the Fourth Proportional to 258.67, 386.08 and 240.61

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Solution

The fourth proportional to 258.67, 386.08 and 240.61 is: 359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.67 : 386.08 = 240.61 : x
  2. Step 2: Convert to fraction form
    258.67/386.08 = 240.61/x
  3. Step 3: Cross multiply
    258.67x = 386.08 × 240.61
  4. Step 4: Simplify right side
    258.67x = 92,892.78
  5. Step 5: Solve for x
    x = 92,892.78/258.67
  6. Step 6: Final answer
    x = 359.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.