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Finding the Fourth Proportional to 281.24, 388.08 and 169.16

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Solution

The fourth proportional to 281.24, 388.08 and 169.16 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.24 : 388.08 = 169.16 : x
  2. Step 2: Convert to fraction form
    281.24/388.08 = 169.16/x
  3. Step 3: Cross multiply
    281.24x = 388.08 × 169.16
  4. Step 4: Simplify right side
    281.24x = 65,647.61
  5. Step 5: Solve for x
    x = 65,647.61/281.24
  6. Step 6: Final answer
    x = 233.42

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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.