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Finding the Fourth Proportional to 321.13, 477.57 and 310.88

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Solution

The fourth proportional to 321.13, 477.57 and 310.88 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.13 : 477.57 = 310.88 : x
  2. Step 2: Convert to fraction form
    321.13/477.57 = 310.88/x
  3. Step 3: Cross multiply
    321.13x = 477.57 × 310.88
  4. Step 4: Simplify right side
    321.13x = 148,469.32
  5. Step 5: Solve for x
    x = 148,469.32/321.13
  6. Step 6: Final answer
    x = 462.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.