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Finding the Fourth Proportional to 432.46, 648.51 and 172.59

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Solution

The fourth proportional to 432.46, 648.51 and 172.59 is: 258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.46 : 648.51 = 172.59 : x
  2. Step 2: Convert to fraction form
    432.46/648.51 = 172.59/x
  3. Step 3: Cross multiply
    432.46x = 648.51 × 172.59
  4. Step 4: Simplify right side
    432.46x = 111,923.10
  5. Step 5: Solve for x
    x = 111,923.10/432.46
  6. Step 6: Final answer
    x = 258.81

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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.