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Finding the Fourth Proportional to 499.25, 688.34 and 388.49

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Solution

The fourth proportional to 499.25, 688.34 and 388.49 is: 535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.25 : 688.34 = 388.49 : x
  2. Step 2: Convert to fraction form
    499.25/688.34 = 388.49/x
  3. Step 3: Cross multiply
    499.25x = 688.34 × 388.49
  4. Step 4: Simplify right side
    499.25x = 267,407.82
  5. Step 5: Solve for x
    x = 267,407.82/499.25
  6. Step 6: Final answer
    x = 535.62

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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.