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Finding the Fourth Proportional to 287.32, 429.90 and 171.88

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Solution

The fourth proportional to 287.32, 429.90 and 171.88 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 429.90 = 171.88 : x
  2. Step 2: Convert to fraction form
    287.32/429.90 = 171.88/x
  3. Step 3: Cross multiply
    287.32x = 429.90 × 171.88
  4. Step 4: Simplify right side
    287.32x = 73,891.21
  5. Step 5: Solve for x
    x = 73,891.21/287.32
  6. Step 6: Final answer
    x = 257.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.