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Finding the Fourth Proportional to 402.80, 556.24 and 310.46

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Solution

The fourth proportional to 402.80, 556.24 and 310.46 is: 428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 556.24 = 310.46 : x
  2. Step 2: Convert to fraction form
    402.80/556.24 = 310.46/x
  3. Step 3: Cross multiply
    402.80x = 556.24 × 310.46
  4. Step 4: Simplify right side
    402.80x = 172,690.27
  5. Step 5: Solve for x
    x = 172,690.27/402.80
  6. Step 6: Final answer
    x = 428.72

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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.