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Finding the Fourth Proportional to 432.67, 648.78 and 213.31

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Solution

The fourth proportional to 432.67, 648.78 and 213.31 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.67 : 648.78 = 213.31 : x
  2. Step 2: Convert to fraction form
    432.67/648.78 = 213.31/x
  3. Step 3: Cross multiply
    432.67x = 648.78 × 213.31
  4. Step 4: Simplify right side
    432.67x = 138,386.95
  5. Step 5: Solve for x
    x = 138,386.95/432.67
  6. Step 6: Final answer
    x = 319.85

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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.