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Finding the Fourth Proportional to 202.98, 279.66 and 170.17

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Solution

The fourth proportional to 202.98, 279.66 and 170.17 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 279.66 = 170.17 : x
  2. Step 2: Convert to fraction form
    202.98/279.66 = 170.17/x
  3. Step 3: Cross multiply
    202.98x = 279.66 × 170.17
  4. Step 4: Simplify right side
    202.98x = 47,589.74
  5. Step 5: Solve for x
    x = 47,589.74/202.98
  6. Step 6: Final answer
    x = 234.46

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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.