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Finding the Fourth Proportional to 285.30, 393.82 and 180.57

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Solution

The fourth proportional to 285.30, 393.82 and 180.57 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 393.82 = 180.57 : x
  2. Step 2: Convert to fraction form
    285.30/393.82 = 180.57/x
  3. Step 3: Cross multiply
    285.30x = 393.82 × 180.57
  4. Step 4: Simplify right side
    285.30x = 71,112.08
  5. Step 5: Solve for x
    x = 71,112.08/285.30
  6. Step 6: Final answer
    x = 249.25

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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.