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Finding the Fourth Proportional to 311.93, 430.36 and 180.91

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Solution

The fourth proportional to 311.93, 430.36 and 180.91 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.93 : 430.36 = 180.91 : x
  2. Step 2: Convert to fraction form
    311.93/430.36 = 180.91/x
  3. Step 3: Cross multiply
    311.93x = 430.36 × 180.91
  4. Step 4: Simplify right side
    311.93x = 77,856.43
  5. Step 5: Solve for x
    x = 77,856.43/311.93
  6. Step 6: Final answer
    x = 249.60

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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.