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Finding the Fourth Proportional to 114.12, 156.23 and 113.74

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Solution

The fourth proportional to 114.12, 156.23 and 113.74 is: 155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.12 : 156.23 = 113.74 : x
  2. Step 2: Convert to fraction form
    114.12/156.23 = 113.74/x
  3. Step 3: Cross multiply
    114.12x = 156.23 × 113.74
  4. Step 4: Simplify right side
    114.12x = 17,769.03
  5. Step 5: Solve for x
    x = 17,769.03/114.12
  6. Step 6: Final answer
    x = 155.70

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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.