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Finding the Fourth Proportional to 281.83, 388.75 and 171.32

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Solution

The fourth proportional to 281.83, 388.75 and 171.32 is: 236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.83 : 388.75 = 171.32 : x
  2. Step 2: Convert to fraction form
    281.83/388.75 = 171.32/x
  3. Step 3: Cross multiply
    281.83x = 388.75 × 171.32
  4. Step 4: Simplify right side
    281.83x = 66,598.60
  5. Step 5: Solve for x
    x = 66,598.60/281.83
  6. Step 6: Final answer
    x = 236.31

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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.