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Finding the Fourth Proportional to 252.79, 378.08 and 225.57

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Solution

The fourth proportional to 252.79, 378.08 and 225.57 is: 337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.79 : 378.08 = 225.57 : x
  2. Step 2: Convert to fraction form
    252.79/378.08 = 225.57/x
  3. Step 3: Cross multiply
    252.79x = 378.08 × 225.57
  4. Step 4: Simplify right side
    252.79x = 85,283.51
  5. Step 5: Solve for x
    x = 85,283.51/252.79
  6. Step 6: Final answer
    x = 337.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.