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Finding the Fourth Proportional to 499.20, 688.68 and 343.68

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Solution

The fourth proportional to 499.20, 688.68 and 343.68 is: 474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.20 : 688.68 = 343.68 : x
  2. Step 2: Convert to fraction form
    499.20/688.68 = 343.68/x
  3. Step 3: Cross multiply
    499.20x = 688.68 × 343.68
  4. Step 4: Simplify right side
    499.20x = 236,685.54
  5. Step 5: Solve for x
    x = 236,685.54/499.20
  6. Step 6: Final answer
    x = 474.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.