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Finding the Fourth Proportional to 367.85, 549.78 and 338.66

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Solution

The fourth proportional to 367.85, 549.78 and 338.66 is: 506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.85 : 549.78 = 338.66 : x
  2. Step 2: Convert to fraction form
    367.85/549.78 = 338.66/x
  3. Step 3: Cross multiply
    367.85x = 549.78 × 338.66
  4. Step 4: Simplify right side
    367.85x = 186,185.75
  5. Step 5: Solve for x
    x = 186,185.75/367.85
  6. Step 6: Final answer
    x = 506.15

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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.