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Finding the Fourth Proportional to 311.82, 430.44 and 257.16

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Solution

The fourth proportional to 311.82, 430.44 and 257.16 is: 354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 430.44 = 257.16 : x
  2. Step 2: Convert to fraction form
    311.82/430.44 = 257.16/x
  3. Step 3: Cross multiply
    311.82x = 430.44 × 257.16
  4. Step 4: Simplify right side
    311.82x = 110,691.95
  5. Step 5: Solve for x
    x = 110,691.95/311.82
  6. Step 6: Final answer
    x = 354.99

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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.