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Finding the Fourth Proportional to 367.94, 507.54 and 280.46

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Solution

The fourth proportional to 367.94, 507.54 and 280.46 is: 386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.94 : 507.54 = 280.46 : x
  2. Step 2: Convert to fraction form
    367.94/507.54 = 280.46/x
  3. Step 3: Cross multiply
    367.94x = 507.54 × 280.46
  4. Step 4: Simplify right side
    367.94x = 142,344.67
  5. Step 5: Solve for x
    x = 142,344.67/367.94
  6. Step 6: Final answer
    x = 386.87

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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.