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Finding the Fourth Proportional to 432.09, 648 and 188.55

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Solution

The fourth proportional to 432.09, 648 and 188.55 is: 282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 648 = 188.55 : x
  2. Step 2: Convert to fraction form
    432.09/648 = 188.55/x
  3. Step 3: Cross multiply
    432.09x = 648 × 188.55
  4. Step 4: Simplify right side
    432.09x = 122,180.40
  5. Step 5: Solve for x
    x = 122,180.40/432.09
  6. Step 6: Final answer
    x = 282.77

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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.