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Finding the Fourth Proportional to 287.93, 397.30 and 169.89

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Solution

The fourth proportional to 287.93, 397.30 and 169.89 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 397.30 = 169.89 : x
  2. Step 2: Convert to fraction form
    287.93/397.30 = 169.89/x
  3. Step 3: Cross multiply
    287.93x = 397.30 × 169.89
  4. Step 4: Simplify right side
    287.93x = 67,497.30
  5. Step 5: Solve for x
    x = 67,497.30/287.93
  6. Step 6: Final answer
    x = 234.42

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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.