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Finding the Fourth Proportional to 261.83, 363.19 and 247.99

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Solution

The fourth proportional to 261.83, 363.19 and 247.99 is: 344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.83 : 363.19 = 247.99 : x
  2. Step 2: Convert to fraction form
    261.83/363.19 = 247.99/x
  3. Step 3: Cross multiply
    261.83x = 363.19 × 247.99
  4. Step 4: Simplify right side
    261.83x = 90,067.49
  5. Step 5: Solve for x
    x = 90,067.49/261.83
  6. Step 6: Final answer
    x = 344.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.