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Finding the Fourth Proportional to 258.29, 387.34 and 160.65

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Solution

The fourth proportional to 258.29, 387.34 and 160.65 is: 240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 387.34 = 160.65 : x
  2. Step 2: Convert to fraction form
    258.29/387.34 = 160.65/x
  3. Step 3: Cross multiply
    258.29x = 387.34 × 160.65
  4. Step 4: Simplify right side
    258.29x = 62,224.32
  5. Step 5: Solve for x
    x = 62,224.32/258.29
  6. Step 6: Final answer
    x = 240.91

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Why These Related Problems?

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