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Finding the Fourth Proportional to 363.65, 501.34 and 284.66

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Solution

The fourth proportional to 363.65, 501.34 and 284.66 is: 392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.65 : 501.34 = 284.66 : x
  2. Step 2: Convert to fraction form
    363.65/501.34 = 284.66/x
  3. Step 3: Cross multiply
    363.65x = 501.34 × 284.66
  4. Step 4: Simplify right side
    363.65x = 142,708.94
  5. Step 5: Solve for x
    x = 142,708.94/363.65
  6. Step 6: Final answer
    x = 392.44

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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.