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Finding the Fourth Proportional to 281.80, 388.02 and 265.78

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Solution

The fourth proportional to 281.80, 388.02 and 265.78 is: 365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.80 : 388.02 = 265.78 : x
  2. Step 2: Convert to fraction form
    281.80/388.02 = 265.78/x
  3. Step 3: Cross multiply
    281.80x = 388.02 × 265.78
  4. Step 4: Simplify right side
    281.80x = 103,127.96
  5. Step 5: Solve for x
    x = 103,127.96/281.80
  6. Step 6: Final answer
    x = 365.96

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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.