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Finding the Fourth Proportional to 266.78, 399.62 and 215.14

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Solution

The fourth proportional to 266.78, 399.62 and 215.14 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 399.62 = 215.14 : x
  2. Step 2: Convert to fraction form
    266.78/399.62 = 215.14/x
  3. Step 3: Cross multiply
    266.78x = 399.62 × 215.14
  4. Step 4: Simplify right side
    266.78x = 85,974.25
  5. Step 5: Solve for x
    x = 85,974.25/266.78
  6. Step 6: Final answer
    x = 322.27

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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.