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Finding the Fourth Proportional to 367.79, 507.20 and 280.31

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Solution

The fourth proportional to 367.79, 507.20 and 280.31 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.79 : 507.20 = 280.31 : x
  2. Step 2: Convert to fraction form
    367.79/507.20 = 280.31/x
  3. Step 3: Cross multiply
    367.79x = 507.20 × 280.31
  4. Step 4: Simplify right side
    367.79x = 142,169.29
  5. Step 5: Solve for x
    x = 142,169.29/367.79
  6. Step 6: Final answer
    x = 386.56

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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.