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Finding the Fourth Proportional to 267.78, 401.64 and 85.16

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Solution

The fourth proportional to 267.78, 401.64 and 85.16 is: 127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.78 : 401.64 = 85.16 : x
  2. Step 2: Convert to fraction form
    267.78/401.64 = 85.16/x
  3. Step 3: Cross multiply
    267.78x = 401.64 × 85.16
  4. Step 4: Simplify right side
    267.78x = 34,201.65
  5. Step 5: Solve for x
    x = 34,201.65/267.78
  6. Step 6: Final answer
    x = 127.72

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Why These Related Problems?

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