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Finding the Fourth Proportional to 311.57, 430.01 and 180.58

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Solution

The fourth proportional to 311.57, 430.01 and 180.58 is: 249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.57 : 430.01 = 180.58 : x
  2. Step 2: Convert to fraction form
    311.57/430.01 = 180.58/x
  3. Step 3: Cross multiply
    311.57x = 430.01 × 180.58
  4. Step 4: Simplify right side
    311.57x = 77,651.21
  5. Step 5: Solve for x
    x = 77,651.21/311.57
  6. Step 6: Final answer
    x = 249.23

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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.