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Finding the Fourth Proportional to 394.42, 591.90 and 178.06

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Solution

The fourth proportional to 394.42, 591.90 and 178.06 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.42 : 591.90 = 178.06 : x
  2. Step 2: Convert to fraction form
    394.42/591.90 = 178.06/x
  3. Step 3: Cross multiply
    394.42x = 591.90 × 178.06
  4. Step 4: Simplify right side
    394.42x = 105,393.71
  5. Step 5: Solve for x
    x = 105,393.71/394.42
  6. Step 6: Final answer
    x = 267.21

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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.