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Finding the Fourth Proportional to 333.30, 502.44 and 311.00

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Solution

The fourth proportional to 333.30, 502.44 and 311.00 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.30 : 502.44 = 311.00 : x
  2. Step 2: Convert to fraction form
    333.30/502.44 = 311.00/x
  3. Step 3: Cross multiply
    333.30x = 502.44 × 311.00
  4. Step 4: Simplify right side
    333.30x = 156,256.33
  5. Step 5: Solve for x
    x = 156,256.33/333.30
  6. Step 6: Final answer
    x = 468.82

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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.