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Finding the Fourth Proportional to 114.89, 157.16 and 113.10

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Solution

The fourth proportional to 114.89, 157.16 and 113.10 is: 154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.89 : 157.16 = 113.10 : x
  2. Step 2: Convert to fraction form
    114.89/157.16 = 113.10/x
  3. Step 3: Cross multiply
    114.89x = 157.16 × 113.10
  4. Step 4: Simplify right side
    114.89x = 17,774.23
  5. Step 5: Solve for x
    x = 17,774.23/114.89
  6. Step 6: Final answer
    x = 154.71

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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.