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Finding the Fourth Proportional to 311.82, 430.44 and 282.18

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Solution

The fourth proportional to 311.82, 430.44 and 282.18 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 430.44 = 282.18 : x
  2. Step 2: Convert to fraction form
    311.82/430.44 = 282.18/x
  3. Step 3: Cross multiply
    311.82x = 430.44 × 282.18
  4. Step 4: Simplify right side
    311.82x = 121,461.56
  5. Step 5: Solve for x
    x = 121,461.56/311.82
  6. Step 6: Final answer
    x = 389.52

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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.