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Finding the Fourth Proportional to 657.66, 986.67 and 267.42

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Solution

The fourth proportional to 657.66, 986.67 and 267.42 is: 401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.66 : 986.67 = 267.42 : x
  2. Step 2: Convert to fraction form
    657.66/986.67 = 267.42/x
  3. Step 3: Cross multiply
    657.66x = 986.67 × 267.42
  4. Step 4: Simplify right side
    657.66x = 263,855.29
  5. Step 5: Solve for x
    x = 263,855.29/657.66
  6. Step 6: Final answer
    x = 401.20

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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.