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Finding the Fourth Proportional to 432.68, 648.70 and 213.20

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Solution

The fourth proportional to 432.68, 648.70 and 213.20 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 648.70 = 213.20 : x
  2. Step 2: Convert to fraction form
    432.68/648.70 = 213.20/x
  3. Step 3: Cross multiply
    432.68x = 648.70 × 213.20
  4. Step 4: Simplify right side
    432.68x = 138,302.84
  5. Step 5: Solve for x
    x = 138,302.84/432.68
  6. Step 6: Final answer
    x = 319.64

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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.