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Finding the Fourth Proportional to 432.25, 648.38 and 143.71

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Solution

The fourth proportional to 432.25, 648.38 and 143.71 is: 215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 648.38 = 143.71 : x
  2. Step 2: Convert to fraction form
    432.25/648.38 = 143.71/x
  3. Step 3: Cross multiply
    432.25x = 648.38 × 143.71
  4. Step 4: Simplify right side
    432.25x = 93,178.69
  5. Step 5: Solve for x
    x = 93,178.69/432.25
  6. Step 6: Final answer
    x = 215.57

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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.