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Finding the Fourth Proportional to 367.61, 507.47 and 243.05

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Solution

The fourth proportional to 367.61, 507.47 and 243.05 is: 335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.61 : 507.47 = 243.05 : x
  2. Step 2: Convert to fraction form
    367.61/507.47 = 243.05/x
  3. Step 3: Cross multiply
    367.61x = 507.47 × 243.05
  4. Step 4: Simplify right side
    367.61x = 123,340.64
  5. Step 5: Solve for x
    x = 123,340.64/367.61
  6. Step 6: Final answer
    x = 335.52

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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.