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Finding the Fourth Proportional to 312.52, 431.32 and 234.76

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Solution

The fourth proportional to 312.52, 431.32 and 234.76 is: 324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 431.32 = 234.76 : x
  2. Step 2: Convert to fraction form
    312.52/431.32 = 234.76/x
  3. Step 3: Cross multiply
    312.52x = 431.32 × 234.76
  4. Step 4: Simplify right side
    312.52x = 101,256.68
  5. Step 5: Solve for x
    x = 101,256.68/312.52
  6. Step 6: Final answer
    x = 324.00

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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.