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Finding the Fourth Proportional to 432.60, 648.66 and 185.76

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Solution

The fourth proportional to 432.60, 648.66 and 185.76 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.60 : 648.66 = 185.76 : x
  2. Step 2: Convert to fraction form
    432.60/648.66 = 185.76/x
  3. Step 3: Cross multiply
    432.60x = 648.66 × 185.76
  4. Step 4: Simplify right side
    432.60x = 120,495.08
  5. Step 5: Solve for x
    x = 120,495.08/432.60
  6. Step 6: Final answer
    x = 278.54

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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.