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Finding the Fourth Proportional to 114.27, 156.66 and 112.22

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Solution

The fourth proportional to 114.27, 156.66 and 112.22 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.27 : 156.66 = 112.22 : x
  2. Step 2: Convert to fraction form
    114.27/156.66 = 112.22/x
  3. Step 3: Cross multiply
    114.27x = 156.66 × 112.22
  4. Step 4: Simplify right side
    114.27x = 17,581.20
  5. Step 5: Solve for x
    x = 17,581.20/114.27
  6. Step 6: Final answer
    x = 153.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.