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Finding the Fourth Proportional to 253.14, 348.91 and 170.21

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Solution

The fourth proportional to 253.14, 348.91 and 170.21 is: 234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.14 : 348.91 = 170.21 : x
  2. Step 2: Convert to fraction form
    253.14/348.91 = 170.21/x
  3. Step 3: Cross multiply
    253.14x = 348.91 × 170.21
  4. Step 4: Simplify right side
    253.14x = 59,387.97
  5. Step 5: Solve for x
    x = 59,387.97/253.14
  6. Step 6: Final answer
    x = 234.61

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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.