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Finding the Fourth Proportional to 502.22, 694.02 and 362.80

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Solution

The fourth proportional to 502.22, 694.02 and 362.80 is: 501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.22 : 694.02 = 362.80 : x
  2. Step 2: Convert to fraction form
    502.22/694.02 = 362.80/x
  3. Step 3: Cross multiply
    502.22x = 694.02 × 362.80
  4. Step 4: Simplify right side
    502.22x = 251,790.46
  5. Step 5: Solve for x
    x = 251,790.46/502.22
  6. Step 6: Final answer
    x = 501.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.