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Finding the Fourth Proportional to 398.79, 550.52 and 310.10

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Solution

The fourth proportional to 398.79, 550.52 and 310.10 is: 428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.79 : 550.52 = 310.10 : x
  2. Step 2: Convert to fraction form
    398.79/550.52 = 310.10/x
  3. Step 3: Cross multiply
    398.79x = 550.52 × 310.10
  4. Step 4: Simplify right side
    398.79x = 170,713.98
  5. Step 5: Solve for x
    x = 170,713.98/398.79
  6. Step 6: Final answer
    x = 428.08

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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.