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Finding the Fourth Proportional to 114.98, 171.66 and 110.66

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Solution

The fourth proportional to 114.98, 171.66 and 110.66 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 171.66 = 110.66 : x
  2. Step 2: Convert to fraction form
    114.98/171.66 = 110.66/x
  3. Step 3: Cross multiply
    114.98x = 171.66 × 110.66
  4. Step 4: Simplify right side
    114.98x = 18,995.34
  5. Step 5: Solve for x
    x = 18,995.34/114.98
  6. Step 6: Final answer
    x = 165.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.