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Finding the Fourth Proportional to 263.26, 362.55 and 238.78

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Solution

The fourth proportional to 263.26, 362.55 and 238.78 is: 328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.26 : 362.55 = 238.78 : x
  2. Step 2: Convert to fraction form
    263.26/362.55 = 238.78/x
  3. Step 3: Cross multiply
    263.26x = 362.55 × 238.78
  4. Step 4: Simplify right side
    263.26x = 86,569.69
  5. Step 5: Solve for x
    x = 86,569.69/263.26
  6. Step 6: Final answer
    x = 328.84

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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.