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Finding the Fourth Proportional to 312.56, 431.32 and 177.95

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Solution

The fourth proportional to 312.56, 431.32 and 177.95 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 431.32 = 177.95 : x
  2. Step 2: Convert to fraction form
    312.56/431.32 = 177.95/x
  3. Step 3: Cross multiply
    312.56x = 431.32 × 177.95
  4. Step 4: Simplify right side
    312.56x = 76,753.39
  5. Step 5: Solve for x
    x = 76,753.39/312.56
  6. Step 6: Final answer
    x = 245.56

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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.