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Finding the Fourth Proportional to 281.34, 388.32 and 188.26

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Solution

The fourth proportional to 281.34, 388.32 and 188.26 is: 259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.34 : 388.32 = 188.26 : x
  2. Step 2: Convert to fraction form
    281.34/388.32 = 188.26/x
  3. Step 3: Cross multiply
    281.34x = 388.32 × 188.26
  4. Step 4: Simplify right side
    281.34x = 73,105.12
  5. Step 5: Solve for x
    x = 73,105.12/281.34
  6. Step 6: Final answer
    x = 259.85

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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.