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Finding the Fourth Proportional to 333.53, 502.80 and 311.23

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Solution

The fourth proportional to 333.53, 502.80 and 311.23 is: 469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.53 : 502.80 = 311.23 : x
  2. Step 2: Convert to fraction form
    333.53/502.80 = 311.23/x
  3. Step 3: Cross multiply
    333.53x = 502.80 × 311.23
  4. Step 4: Simplify right side
    333.53x = 156,488.19
  5. Step 5: Solve for x
    x = 156,488.19/333.53
  6. Step 6: Final answer
    x = 469.18

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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.