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Finding the Fourth Proportional to 311.80, 430.69 and 250.06

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Solution

The fourth proportional to 311.80, 430.69 and 250.06 is: 345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.80 : 430.69 = 250.06 : x
  2. Step 2: Convert to fraction form
    311.80/430.69 = 250.06/x
  3. Step 3: Cross multiply
    311.80x = 430.69 × 250.06
  4. Step 4: Simplify right side
    311.80x = 107,698.34
  5. Step 5: Solve for x
    x = 107,698.34/311.80
  6. Step 6: Final answer
    x = 345.41

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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.