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Finding the Fourth Proportional to 285.04, 396.08 and 282.07

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Solution

The fourth proportional to 285.04, 396.08 and 282.07 is: 391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 396.08 = 282.07 : x
  2. Step 2: Convert to fraction form
    285.04/396.08 = 282.07/x
  3. Step 3: Cross multiply
    285.04x = 396.08 × 282.07
  4. Step 4: Simplify right side
    285.04x = 111,722.29
  5. Step 5: Solve for x
    x = 111,722.29/285.04
  6. Step 6: Final answer
    x = 391.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.