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Finding the Fourth Proportional to 367.93, 508.19 and 268.19

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Solution

The fourth proportional to 367.93, 508.19 and 268.19 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.93 : 508.19 = 268.19 : x
  2. Step 2: Convert to fraction form
    367.93/508.19 = 268.19/x
  3. Step 3: Cross multiply
    367.93x = 508.19 × 268.19
  4. Step 4: Simplify right side
    367.93x = 136,288.94
  5. Step 5: Solve for x
    x = 136,288.94/367.93
  6. Step 6: Final answer
    x = 370.42

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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.