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Finding the Fourth Proportional to 287.64, 396.78 and 171.16

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Solution

The fourth proportional to 287.64, 396.78 and 171.16 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 396.78 = 171.16 : x
  2. Step 2: Convert to fraction form
    287.64/396.78 = 171.16/x
  3. Step 3: Cross multiply
    287.64x = 396.78 × 171.16
  4. Step 4: Simplify right side
    287.64x = 67,912.86
  5. Step 5: Solve for x
    x = 67,912.86/287.64
  6. Step 6: Final answer
    x = 236.10

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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.