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Finding the Fourth Proportional to 312.76, 431.60 and 174.76

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Solution

The fourth proportional to 312.76, 431.60 and 174.76 is: 241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.76 : 431.60 = 174.76 : x
  2. Step 2: Convert to fraction form
    312.76/431.60 = 174.76/x
  3. Step 3: Cross multiply
    312.76x = 431.60 × 174.76
  4. Step 4: Simplify right side
    312.76x = 75,426.42
  5. Step 5: Solve for x
    x = 75,426.42/312.76
  6. Step 6: Final answer
    x = 241.16

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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.