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Finding the Fourth Proportional to 498.03, 687.20 and 311.46

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Solution

The fourth proportional to 498.03, 687.20 and 311.46 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.03 : 687.20 = 311.46 : x
  2. Step 2: Convert to fraction form
    498.03/687.20 = 311.46/x
  3. Step 3: Cross multiply
    498.03x = 687.20 × 311.46
  4. Step 4: Simplify right side
    498.03x = 214,033.75
  5. Step 5: Solve for x
    x = 214,033.75/498.03
  6. Step 6: Final answer
    x = 429.76

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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.