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Finding the Fourth Proportional to 285.28, 393.72 and 180.38

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Solution

The fourth proportional to 285.28, 393.72 and 180.38 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 393.72 = 180.38 : x
  2. Step 2: Convert to fraction form
    285.28/393.72 = 180.38/x
  3. Step 3: Cross multiply
    285.28x = 393.72 × 180.38
  4. Step 4: Simplify right side
    285.28x = 71,019.21
  5. Step 5: Solve for x
    x = 71,019.21/285.28
  6. Step 6: Final answer
    x = 248.95

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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.