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Finding the Fourth Proportional to 498.42, 746.79 and 266.96

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Solution

The fourth proportional to 498.42, 746.79 and 266.96 is: 399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.42 : 746.79 = 266.96 : x
  2. Step 2: Convert to fraction form
    498.42/746.79 = 266.96/x
  3. Step 3: Cross multiply
    498.42x = 746.79 × 266.96
  4. Step 4: Simplify right side
    498.42x = 199,363.92
  5. Step 5: Solve for x
    x = 199,363.92/498.42
  6. Step 6: Final answer
    x = 399.99

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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.