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Finding the Fourth Proportional to 367.64, 507.39 and 243.44

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Solution

The fourth proportional to 367.64, 507.39 and 243.44 is: 335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.64 : 507.39 = 243.44 : x
  2. Step 2: Convert to fraction form
    367.64/507.39 = 243.44/x
  3. Step 3: Cross multiply
    367.64x = 507.39 × 243.44
  4. Step 4: Simplify right side
    367.64x = 123,519.02
  5. Step 5: Solve for x
    x = 123,519.02/367.64
  6. Step 6: Final answer
    x = 335.98

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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.