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Finding the Fourth Proportional to 270.53, 405.74 and 225.17

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Solution

The fourth proportional to 270.53, 405.74 and 225.17 is: 337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.53 : 405.74 = 225.17 : x
  2. Step 2: Convert to fraction form
    270.53/405.74 = 225.17/x
  3. Step 3: Cross multiply
    270.53x = 405.74 × 225.17
  4. Step 4: Simplify right side
    270.53x = 91,357.32
  5. Step 5: Solve for x
    x = 91,357.32/270.53
  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.