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Finding the Fourth Proportional to 426.91, 589.18 and 240.44

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Solution

The fourth proportional to 426.91, 589.18 and 240.44 is: 331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.91 : 589.18 = 240.44 : x
  2. Step 2: Convert to fraction form
    426.91/589.18 = 240.44/x
  3. Step 3: Cross multiply
    426.91x = 589.18 × 240.44
  4. Step 4: Simplify right side
    426.91x = 141,663.31
  5. Step 5: Solve for x
    x = 141,663.31/426.91
  6. Step 6: Final answer
    x = 331.84

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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.