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Finding the Fourth Proportional to 426.42, 588.45 and 249.50

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Solution

The fourth proportional to 426.42, 588.45 and 249.50 is: 344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 588.45 = 249.50 : x
  2. Step 2: Convert to fraction form
    426.42/588.45 = 249.50/x
  3. Step 3: Cross multiply
    426.42x = 588.45 × 249.50
  4. Step 4: Simplify right side
    426.42x = 146,820.68
  5. Step 5: Solve for x
    x = 146,820.68/426.42
  6. Step 6: Final answer
    x = 344.31

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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.