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Finding the Fourth Proportional to 311.60, 430.06 and 180.68

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Solution

The fourth proportional to 311.60, 430.06 and 180.68 is: 249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.60 : 430.06 = 180.68 : x
  2. Step 2: Convert to fraction form
    311.60/430.06 = 180.68/x
  3. Step 3: Cross multiply
    311.60x = 430.06 × 180.68
  4. Step 4: Simplify right side
    311.60x = 77,703.24
  5. Step 5: Solve for x
    x = 77,703.24/311.60
  6. Step 6: Final answer
    x = 249.37

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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.