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Finding the Fourth Proportional to 257.86, 387.33 and 161.74

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Solution

The fourth proportional to 257.86, 387.33 and 161.74 is: 242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.86 : 387.33 = 161.74 : x
  2. Step 2: Convert to fraction form
    257.86/387.33 = 161.74/x
  3. Step 3: Cross multiply
    257.86x = 387.33 × 161.74
  4. Step 4: Simplify right side
    257.86x = 62,646.75
  5. Step 5: Solve for x
    x = 62,646.75/257.86
  6. Step 6: Final answer
    x = 242.95

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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.