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Finding the Fourth Proportional to 267.14, 399.67 and 180.06

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Solution

The fourth proportional to 267.14, 399.67 and 180.06 is: 269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 399.67 = 180.06 : x
  2. Step 2: Convert to fraction form
    267.14/399.67 = 180.06/x
  3. Step 3: Cross multiply
    267.14x = 399.67 × 180.06
  4. Step 4: Simplify right side
    267.14x = 71,965.08
  5. Step 5: Solve for x
    x = 71,965.08/267.14
  6. Step 6: Final answer
    x = 269.40

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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.