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Finding the Fourth Proportional to 499.26, 689.27 and 342.12

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Solution

The fourth proportional to 499.26, 689.27 and 342.12 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.26 : 689.27 = 342.12 : x
  2. Step 2: Convert to fraction form
    499.26/689.27 = 342.12/x
  3. Step 3: Cross multiply
    499.26x = 689.27 × 342.12
  4. Step 4: Simplify right side
    499.26x = 235,813.05
  5. Step 5: Solve for x
    x = 235,813.05/499.26
  6. Step 6: Final answer
    x = 472.33

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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.