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Finding the Fourth Proportional to 267.15, 399.89 and 202.40

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Solution

The fourth proportional to 267.15, 399.89 and 202.40 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.15 : 399.89 = 202.40 : x
  2. Step 2: Convert to fraction form
    267.15/399.89 = 202.40/x
  3. Step 3: Cross multiply
    267.15x = 399.89 × 202.40
  4. Step 4: Simplify right side
    267.15x = 80,936.60
  5. Step 5: Solve for x
    x = 80,936.60/267.15
  6. Step 6: Final answer
    x = 302.97

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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.