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Finding the Fourth Proportional to 267.24, 367.64 and 218.01

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Solution

The fourth proportional to 267.24, 367.64 and 218.01 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.24 : 367.64 = 218.01 : x
  2. Step 2: Convert to fraction form
    267.24/367.64 = 218.01/x
  3. Step 3: Cross multiply
    267.24x = 367.64 × 218.01
  4. Step 4: Simplify right side
    267.24x = 80,148.11
  5. Step 5: Solve for x
    x = 80,148.11/267.24
  6. Step 6: Final answer
    x = 299.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.