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Finding the Fourth Proportional to 265.78, 367.23 and 219.07

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Solution

The fourth proportional to 265.78, 367.23 and 219.07 is: 302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 367.23 = 219.07 : x
  2. Step 2: Convert to fraction form
    265.78/367.23 = 219.07/x
  3. Step 3: Cross multiply
    265.78x = 367.23 × 219.07
  4. Step 4: Simplify right side
    265.78x = 80,449.08
  5. Step 5: Solve for x
    x = 80,449.08/265.78
  6. Step 6: Final answer
    x = 302.69

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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.