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Finding the Fourth Proportional to 333.47, 502.70 and 311.18

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Solution

The fourth proportional to 333.47, 502.70 and 311.18 is: 469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.47 : 502.70 = 311.18 : x
  2. Step 2: Convert to fraction form
    333.47/502.70 = 311.18/x
  3. Step 3: Cross multiply
    333.47x = 502.70 × 311.18
  4. Step 4: Simplify right side
    333.47x = 156,428.45
  5. Step 5: Solve for x
    x = 156,428.45/333.47
  6. Step 6: Final answer
    x = 469.09

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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.