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Finding the Fourth Proportional to 367.69, 507.27 and 243.43

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Solution

The fourth proportional to 367.69, 507.27 and 243.43 is: 335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.69 : 507.27 = 243.43 : x
  2. Step 2: Convert to fraction form
    367.69/507.27 = 243.43/x
  3. Step 3: Cross multiply
    367.69x = 507.27 × 243.43
  4. Step 4: Simplify right side
    367.69x = 123,484.74
  5. Step 5: Solve for x
    x = 123,484.74/367.69
  6. Step 6: Final answer
    x = 335.84

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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.