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Finding the Fourth Proportional to 313.92, 471.08 and 261.27

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Solution

The fourth proportional to 313.92, 471.08 and 261.27 is: 392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.92 : 471.08 = 261.27 : x
  2. Step 2: Convert to fraction form
    313.92/471.08 = 261.27/x
  3. Step 3: Cross multiply
    313.92x = 471.08 × 261.27
  4. Step 4: Simplify right side
    313.92x = 123,079.72
  5. Step 5: Solve for x
    x = 123,079.72/313.92
  6. Step 6: Final answer
    x = 392.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.