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Finding the Fourth Proportional to 498.25, 746.75 and 266.57

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Solution

The fourth proportional to 498.25, 746.75 and 266.57 is: 399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.25 : 746.75 = 266.57 : x
  2. Step 2: Convert to fraction form
    498.25/746.75 = 266.57/x
  3. Step 3: Cross multiply
    498.25x = 746.75 × 266.57
  4. Step 4: Simplify right side
    498.25x = 199,057.41
  5. Step 5: Solve for x
    x = 199,057.41/498.25
  6. Step 6: Final answer
    x = 399.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.