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Finding the Fourth Proportional to 277.91, 415.18 and 179.61

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Solution

The fourth proportional to 277.91, 415.18 and 179.61 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.91 : 415.18 = 179.61 : x
  2. Step 2: Convert to fraction form
    277.91/415.18 = 179.61/x
  3. Step 3: Cross multiply
    277.91x = 415.18 × 179.61
  4. Step 4: Simplify right side
    277.91x = 74,570.70
  5. Step 5: Solve for x
    x = 74,570.70/277.91
  6. Step 6: Final answer
    x = 268.32

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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.