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Finding the Fourth Proportional to 398.74, 549.90 and 310.24

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Solution

The fourth proportional to 398.74, 549.90 and 310.24 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.74 : 549.90 = 310.24 : x
  2. Step 2: Convert to fraction form
    398.74/549.90 = 310.24/x
  3. Step 3: Cross multiply
    398.74x = 549.90 × 310.24
  4. Step 4: Simplify right side
    398.74x = 170,600.98
  5. Step 5: Solve for x
    x = 170,600.98/398.74
  6. Step 6: Final answer
    x = 427.85

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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.