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Finding the Fourth Proportional to 281.13, 388.07 and 225.77

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Solution

The fourth proportional to 281.13, 388.07 and 225.77 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.13 : 388.07 = 225.77 : x
  2. Step 2: Convert to fraction form
    281.13/388.07 = 225.77/x
  3. Step 3: Cross multiply
    281.13x = 388.07 × 225.77
  4. Step 4: Simplify right side
    281.13x = 87,611.49
  5. Step 5: Solve for x
    x = 87,611.49/281.13
  6. Step 6: Final answer
    x = 311.64

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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.