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Finding the Fourth Proportional to 311.63, 430.06 and 178.86

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Solution

The fourth proportional to 311.63, 430.06 and 178.86 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.63 : 430.06 = 178.86 : x
  2. Step 2: Convert to fraction form
    311.63/430.06 = 178.86/x
  3. Step 3: Cross multiply
    311.63x = 430.06 × 178.86
  4. Step 4: Simplify right side
    311.63x = 76,920.53
  5. Step 5: Solve for x
    x = 76,920.53/311.63
  6. Step 6: Final answer
    x = 246.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.