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Finding the Fourth Proportional to 262.26, 391.56 and 239.16

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Solution

The fourth proportional to 262.26, 391.56 and 239.16 is: 357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.26 : 391.56 = 239.16 : x
  2. Step 2: Convert to fraction form
    262.26/391.56 = 239.16/x
  3. Step 3: Cross multiply
    262.26x = 391.56 × 239.16
  4. Step 4: Simplify right side
    262.26x = 93,645.49
  5. Step 5: Solve for x
    x = 93,645.49/262.26
  6. Step 6: Final answer
    x = 357.07

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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.