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Finding the Fourth Proportional to 367.74, 508.26 and 270.18

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Solution

The fourth proportional to 367.74, 508.26 and 270.18 is: 373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 508.26 = 270.18 : x
  2. Step 2: Convert to fraction form
    367.74/508.26 = 270.18/x
  3. Step 3: Cross multiply
    367.74x = 508.26 × 270.18
  4. Step 4: Simplify right side
    367.74x = 137,321.69
  5. Step 5: Solve for x
    x = 137,321.69/367.74
  6. Step 6: Final answer
    x = 373.42

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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.