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Finding the Fourth Proportional to 310.98, 426.33 and 305.52

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Solution

The fourth proportional to 310.98, 426.33 and 305.52 is: 418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 426.33 = 305.52 : x
  2. Step 2: Convert to fraction form
    310.98/426.33 = 305.52/x
  3. Step 3: Cross multiply
    310.98x = 426.33 × 305.52
  4. Step 4: Simplify right side
    310.98x = 130,252.34
  5. Step 5: Solve for x
    x = 130,252.34/310.98
  6. Step 6: Final answer
    x = 418.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.