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Finding the Fourth Proportional to 333.98, 501.20 and 252.98

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Solution

The fourth proportional to 333.98, 501.20 and 252.98 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.98 : 501.20 = 252.98 : x
  2. Step 2: Convert to fraction form
    333.98/501.20 = 252.98/x
  3. Step 3: Cross multiply
    333.98x = 501.20 × 252.98
  4. Step 4: Simplify right side
    333.98x = 126,793.58
  5. Step 5: Solve for x
    x = 126,793.58/333.98
  6. Step 6: Final answer
    x = 379.64

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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.