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Finding the Fourth Proportional to 499.26, 689.02 and 292.26

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Solution

The fourth proportional to 499.26, 689.02 and 292.26 is: 403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.26 : 689.02 = 292.26 : x
  2. Step 2: Convert to fraction form
    499.26/689.02 = 292.26/x
  3. Step 3: Cross multiply
    499.26x = 689.02 × 292.26
  4. Step 4: Simplify right side
    499.26x = 201,372.99
  5. Step 5: Solve for x
    x = 201,372.99/499.26
  6. Step 6: Final answer
    x = 403.34

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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.