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Finding the Fourth Proportional to 394.20, 591.12 and 177.63

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Solution

The fourth proportional to 394.20, 591.12 and 177.63 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 591.12 = 177.63 : x
  2. Step 2: Convert to fraction form
    394.20/591.12 = 177.63/x
  3. Step 3: Cross multiply
    394.20x = 591.12 × 177.63
  4. Step 4: Simplify right side
    394.20x = 105,000.65
  5. Step 5: Solve for x
    x = 105,000.65/394.20
  6. Step 6: Final answer
    x = 266.36

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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.