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Finding the Fourth Proportional to 432.35, 648.55 and 213.15

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Solution

The fourth proportional to 432.35, 648.55 and 213.15 is: 319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.35 : 648.55 = 213.15 : x
  2. Step 2: Convert to fraction form
    432.35/648.55 = 213.15/x
  3. Step 3: Cross multiply
    432.35x = 648.55 × 213.15
  4. Step 4: Simplify right side
    432.35x = 138,237.90
  5. Step 5: Solve for x
    x = 138,237.90/432.35
  6. Step 6: Final answer
    x = 319.74

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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.