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Finding the Fourth Proportional to 502.05, 753.18 and 255.21

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Solution

The fourth proportional to 502.05, 753.18 and 255.21 is: 382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.05 : 753.18 = 255.21 : x
  2. Step 2: Convert to fraction form
    502.05/753.18 = 255.21/x
  3. Step 3: Cross multiply
    502.05x = 753.18 × 255.21
  4. Step 4: Simplify right side
    502.05x = 192,219.07
  5. Step 5: Solve for x
    x = 192,219.07/502.05
  6. Step 6: Final answer
    x = 382.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.