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Finding the Fourth Proportional to 345.80, 516.73 and 249.80

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Solution

The fourth proportional to 345.80, 516.73 and 249.80 is: 373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.80 : 516.73 = 249.80 : x
  2. Step 2: Convert to fraction form
    345.80/516.73 = 249.80/x
  3. Step 3: Cross multiply
    345.80x = 516.73 × 249.80
  4. Step 4: Simplify right side
    345.80x = 129,079.15
  5. Step 5: Solve for x
    x = 129,079.15/345.80
  6. Step 6: Final answer
    x = 373.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.