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Finding the Fourth Proportional to 432.12, 648.12 and 143.55

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Solution

The fourth proportional to 432.12, 648.12 and 143.55 is: 215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.12 : 648.12 = 143.55 : x
  2. Step 2: Convert to fraction form
    432.12/648.12 = 143.55/x
  3. Step 3: Cross multiply
    432.12x = 648.12 × 143.55
  4. Step 4: Simplify right side
    432.12x = 93,037.63
  5. Step 5: Solve for x
    x = 93,037.63/432.12
  6. Step 6: Final answer
    x = 215.31

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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.