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Finding the Fourth Proportional to 333.66, 502.92 and 311.40

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Solution

The fourth proportional to 333.66, 502.92 and 311.40 is: 469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.66 : 502.92 = 311.40 : x
  2. Step 2: Convert to fraction form
    333.66/502.92 = 311.40/x
  3. Step 3: Cross multiply
    333.66x = 502.92 × 311.40
  4. Step 4: Simplify right side
    333.66x = 156,609.29
  5. Step 5: Solve for x
    x = 156,609.29/333.66
  6. Step 6: Final answer
    x = 469.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.