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Finding the Fourth Proportional to 275.82, 414.11 and 154.16

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Solution

The fourth proportional to 275.82, 414.11 and 154.16 is: 231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.82 : 414.11 = 154.16 : x
  2. Step 2: Convert to fraction form
    275.82/414.11 = 154.16/x
  3. Step 3: Cross multiply
    275.82x = 414.11 × 154.16
  4. Step 4: Simplify right side
    275.82x = 63,839.20
  5. Step 5: Solve for x
    x = 63,839.20/275.82
  6. Step 6: Final answer
    x = 231.45

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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.