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Finding the Fourth Proportional to 426.92, 588.97 and 285.30

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Solution

The fourth proportional to 426.92, 588.97 and 285.30 is: 393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.92 : 588.97 = 285.30 : x
  2. Step 2: Convert to fraction form
    426.92/588.97 = 285.30/x
  3. Step 3: Cross multiply
    426.92x = 588.97 × 285.30
  4. Step 4: Simplify right side
    426.92x = 168,031.84
  5. Step 5: Solve for x
    x = 168,031.84/426.92
  6. Step 6: Final answer
    x = 393.59

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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.