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Finding the Fourth Proportional to 114.03, 156.33 and 112.14

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Solution

The fourth proportional to 114.03, 156.33 and 112.14 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.03 : 156.33 = 112.14 : x
  2. Step 2: Convert to fraction form
    114.03/156.33 = 112.14/x
  3. Step 3: Cross multiply
    114.03x = 156.33 × 112.14
  4. Step 4: Simplify right side
    114.03x = 17,530.85
  5. Step 5: Solve for x
    x = 17,530.85/114.03
  6. Step 6: Final answer
    x = 153.74

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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.