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Finding the Fourth Proportional to 285.61, 394.25 and 223.46

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Solution

The fourth proportional to 285.61, 394.25 and 223.46 is: 308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.61 : 394.25 = 223.46 : x
  2. Step 2: Convert to fraction form
    285.61/394.25 = 223.46/x
  3. Step 3: Cross multiply
    285.61x = 394.25 × 223.46
  4. Step 4: Simplify right side
    285.61x = 88,100.49
  5. Step 5: Solve for x
    x = 88,100.49/285.61
  6. Step 6: Final answer
    x = 308.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.