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Finding the Fourth Proportional to 114.72, 157.29 and 113.64

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Solution

The fourth proportional to 114.72, 157.29 and 113.64 is: 155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 157.29 = 113.64 : x
  2. Step 2: Convert to fraction form
    114.72/157.29 = 113.64/x
  3. Step 3: Cross multiply
    114.72x = 157.29 × 113.64
  4. Step 4: Simplify right side
    114.72x = 17,874.44
  5. Step 5: Solve for x
    x = 17,874.44/114.72
  6. Step 6: Final answer
    x = 155.81

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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.