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Finding the Fourth Proportional to 281.54, 388.68 and 215.84

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Solution

The fourth proportional to 281.54, 388.68 and 215.84 is: 297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.54 : 388.68 = 215.84 : x
  2. Step 2: Convert to fraction form
    281.54/388.68 = 215.84/x
  3. Step 3: Cross multiply
    281.54x = 388.68 × 215.84
  4. Step 4: Simplify right side
    281.54x = 83,892.69
  5. Step 5: Solve for x
    x = 83,892.69/281.54
  6. Step 6: Final answer
    x = 297.98

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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.