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Finding the Fourth Proportional to 285.55, 394.23 and 180.79

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Solution

The fourth proportional to 285.55, 394.23 and 180.79 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.55 : 394.23 = 180.79 : x
  2. Step 2: Convert to fraction form
    285.55/394.23 = 180.79/x
  3. Step 3: Cross multiply
    285.55x = 394.23 × 180.79
  4. Step 4: Simplify right side
    285.55x = 71,272.84
  5. Step 5: Solve for x
    x = 71,272.84/285.55
  6. Step 6: Final answer
    x = 249.60

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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.