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Finding the Fourth Proportional to 114.33, 157.77 and 81.66

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Solution

The fourth proportional to 114.33, 157.77 and 81.66 is: 112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 157.77 = 81.66 : x
  2. Step 2: Convert to fraction form
    114.33/157.77 = 81.66/x
  3. Step 3: Cross multiply
    114.33x = 157.77 × 81.66
  4. Step 4: Simplify right side
    114.33x = 12,883.50
  5. Step 5: Solve for x
    x = 12,883.50/114.33
  6. Step 6: Final answer
    x = 112.69

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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.