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Finding the Fourth Proportional to 499.52, 688.96 and 359.84

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Solution

The fourth proportional to 499.52, 688.96 and 359.84 is: 496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.52 : 688.96 = 359.84 : x
  2. Step 2: Convert to fraction form
    499.52/688.96 = 359.84/x
  3. Step 3: Cross multiply
    499.52x = 688.96 × 359.84
  4. Step 4: Simplify right side
    499.52x = 247,915.37
  5. Step 5: Solve for x
    x = 247,915.37/499.52
  6. Step 6: Final answer
    x = 496.31

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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.