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Finding the Fourth Proportional to 114.23, 158.69 and 113.10

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Solution

The fourth proportional to 114.23, 158.69 and 113.10 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.23 : 158.69 = 113.10 : x
  2. Step 2: Convert to fraction form
    114.23/158.69 = 113.10/x
  3. Step 3: Cross multiply
    114.23x = 158.69 × 113.10
  4. Step 4: Simplify right side
    114.23x = 17,947.27
  5. Step 5: Solve for x
    x = 17,947.27/114.23
  6. Step 6: Final answer
    x = 157.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.