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Finding the Fourth Proportional to 402.36, 604.47 and 310.80

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Solution

The fourth proportional to 402.36, 604.47 and 310.80 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.36 : 604.47 = 310.80 : x
  2. Step 2: Convert to fraction form
    402.36/604.47 = 310.80/x
  3. Step 3: Cross multiply
    402.36x = 604.47 × 310.80
  4. Step 4: Simplify right side
    402.36x = 187,869.28
  5. Step 5: Solve for x
    x = 187,869.28/402.36
  6. Step 6: Final answer
    x = 466.92

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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.