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Finding the Fourth Proportional to 432.74, 649.34 and 189.21

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Solution

The fourth proportional to 432.74, 649.34 and 189.21 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 649.34 = 189.21 : x
  2. Step 2: Convert to fraction form
    432.74/649.34 = 189.21/x
  3. Step 3: Cross multiply
    432.74x = 649.34 × 189.21
  4. Step 4: Simplify right side
    432.74x = 122,862.53
  5. Step 5: Solve for x
    x = 122,862.53/432.74
  6. Step 6: Final answer
    x = 283.92

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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.