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Finding the Fourth Proportional to 367.59, 507.50 and 243.21

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Solution

The fourth proportional to 367.59, 507.50 and 243.21 is: 335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.59 : 507.50 = 243.21 : x
  2. Step 2: Convert to fraction form
    367.59/507.50 = 243.21/x
  3. Step 3: Cross multiply
    367.59x = 507.50 × 243.21
  4. Step 4: Simplify right side
    367.59x = 123,429.08
  5. Step 5: Solve for x
    x = 123,429.08/367.59
  6. Step 6: Final answer
    x = 335.78

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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.