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Finding the Fourth Proportional to 114.72, 173.10 and 110.51

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Solution

The fourth proportional to 114.72, 173.10 and 110.51 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 173.10 = 110.51 : x
  2. Step 2: Convert to fraction form
    114.72/173.10 = 110.51/x
  3. Step 3: Cross multiply
    114.72x = 173.10 × 110.51
  4. Step 4: Simplify right side
    114.72x = 19,128.42
  5. Step 5: Solve for x
    x = 19,128.42/114.72
  6. Step 6: Final answer
    x = 166.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.