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Finding the Fourth Proportional to 281.84, 388.69 and 232.64

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Solution

The fourth proportional to 281.84, 388.69 and 232.64 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.84 : 388.69 = 232.64 : x
  2. Step 2: Convert to fraction form
    281.84/388.69 = 232.64/x
  3. Step 3: Cross multiply
    281.84x = 388.69 × 232.64
  4. Step 4: Simplify right side
    281.84x = 90,422.32
  5. Step 5: Solve for x
    x = 90,422.32/281.84
  6. Step 6: Final answer
    x = 320.83

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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.