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Finding the Fourth Proportional to 285.39, 394.08 and 229.95

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Solution

The fourth proportional to 285.39, 394.08 and 229.95 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.39 : 394.08 = 229.95 : x
  2. Step 2: Convert to fraction form
    285.39/394.08 = 229.95/x
  3. Step 3: Cross multiply
    285.39x = 394.08 × 229.95
  4. Step 4: Simplify right side
    285.39x = 90,618.70
  5. Step 5: Solve for x
    x = 90,618.70/285.39
  6. Step 6: Final answer
    x = 317.53

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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.