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Finding the Fourth Proportional to 312.76, 431.70 and 214.76

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Solution

The fourth proportional to 312.76, 431.70 and 214.76 is: 296.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.76 : 431.70 = 214.76 : x
  2. Step 2: Convert to fraction form
    312.76/431.70 = 214.76/x
  3. Step 3: Cross multiply
    312.76x = 431.70 × 214.76
  4. Step 4: Simplify right side
    312.76x = 92,711.89
  5. Step 5: Solve for x
    x = 92,711.89/312.76
  6. Step 6: Final answer
    x = 296.43

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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.