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Finding the Fourth Proportional to 311.49, 430.25 and 276.66

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Solution

The fourth proportional to 311.49, 430.25 and 276.66 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.49 : 430.25 = 276.66 : x
  2. Step 2: Convert to fraction form
    311.49/430.25 = 276.66/x
  3. Step 3: Cross multiply
    311.49x = 430.25 × 276.66
  4. Step 4: Simplify right side
    311.49x = 119,031.58
  5. Step 5: Solve for x
    x = 119,031.58/311.49
  6. Step 6: Final answer
    x = 382.14

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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.