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Finding the Fourth Proportional to 270.54, 405.72 and 225.18

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Solution

The fourth proportional to 270.54, 405.72 and 225.18 is: 337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.54 : 405.72 = 225.18 : x
  2. Step 2: Convert to fraction form
    270.54/405.72 = 225.18/x
  3. Step 3: Cross multiply
    270.54x = 405.72 × 225.18
  4. Step 4: Simplify right side
    270.54x = 91,360.03
  5. Step 5: Solve for x
    x = 91,360.03/270.54
  6. Step 6: Final answer
    x = 337.70

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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.