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Finding the Fourth Proportional to 312.56, 470.81 and 240.92

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Solution

The fourth proportional to 312.56, 470.81 and 240.92 is: 362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 470.81 = 240.92 : x
  2. Step 2: Convert to fraction form
    312.56/470.81 = 240.92/x
  3. Step 3: Cross multiply
    312.56x = 470.81 × 240.92
  4. Step 4: Simplify right side
    312.56x = 113,427.55
  5. Step 5: Solve for x
    x = 113,427.55/312.56
  6. Step 6: Final answer
    x = 362.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.