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Finding the Fourth Proportional to 426.85, 640.58 and 232.25

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Solution

The fourth proportional to 426.85, 640.58 and 232.25 is: 348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.85 : 640.58 = 232.25 : x
  2. Step 2: Convert to fraction form
    426.85/640.58 = 232.25/x
  3. Step 3: Cross multiply
    426.85x = 640.58 × 232.25
  4. Step 4: Simplify right side
    426.85x = 148,770.34
  5. Step 5: Solve for x
    x = 148,770.34/426.85
  6. Step 6: Final answer
    x = 348.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.