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Finding the Fourth Proportional to 367.22, 509.45 and 349.40

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Solution

The fourth proportional to 367.22, 509.45 and 349.40 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.22 : 509.45 = 349.40 : x
  2. Step 2: Convert to fraction form
    367.22/509.45 = 349.40/x
  3. Step 3: Cross multiply
    367.22x = 509.45 × 349.40
  4. Step 4: Simplify right side
    367.22x = 178,001.83
  5. Step 5: Solve for x
    x = 178,001.83/367.22
  6. Step 6: Final answer
    x = 484.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.