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Finding the Fourth Proportional to 367.92, 549.78 and 359.72

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Solution

The fourth proportional to 367.92, 549.78 and 359.72 is: 537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.92 : 549.78 = 359.72 : x
  2. Step 2: Convert to fraction form
    367.92/549.78 = 359.72/x
  3. Step 3: Cross multiply
    367.92x = 549.78 × 359.72
  4. Step 4: Simplify right side
    367.92x = 197,766.86
  5. Step 5: Solve for x
    x = 197,766.86/367.92
  6. Step 6: Final answer
    x = 537.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.