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Finding the Fourth Proportional to 285.48, 394.08 and 180.72

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Solution

The fourth proportional to 285.48, 394.08 and 180.72 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.48 : 394.08 = 180.72 : x
  2. Step 2: Convert to fraction form
    285.48/394.08 = 180.72/x
  3. Step 3: Cross multiply
    285.48x = 394.08 × 180.72
  4. Step 4: Simplify right side
    285.48x = 71,218.14
  5. Step 5: Solve for x
    x = 71,218.14/285.48
  6. Step 6: Final answer
    x = 249.47

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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.