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Finding the Fourth Proportional to 498.07, 686.94 and 311.21

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Solution

The fourth proportional to 498.07, 686.94 and 311.21 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 686.94 = 311.21 : x
  2. Step 2: Convert to fraction form
    498.07/686.94 = 311.21/x
  3. Step 3: Cross multiply
    498.07x = 686.94 × 311.21
  4. Step 4: Simplify right side
    498.07x = 213,782.60
  5. Step 5: Solve for x
    x = 213,782.60/498.07
  6. Step 6: Final answer
    x = 429.22

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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.