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Finding the Fourth Proportional to 395.06, 591.91 and 178.79

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Solution

The fourth proportional to 395.06, 591.91 and 178.79 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.06 : 591.91 = 178.79 : x
  2. Step 2: Convert to fraction form
    395.06/591.91 = 178.79/x
  3. Step 3: Cross multiply
    395.06x = 591.91 × 178.79
  4. Step 4: Simplify right side
    395.06x = 105,824.18
  5. Step 5: Solve for x
    x = 105,824.18/395.06
  6. Step 6: Final answer
    x = 267.87

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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.