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Finding the Fourth Proportional to 114.65, 157.15 and 110.55

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Solution

The fourth proportional to 114.65, 157.15 and 110.55 is: 151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.65 : 157.15 = 110.55 : x
  2. Step 2: Convert to fraction form
    114.65/157.15 = 110.55/x
  3. Step 3: Cross multiply
    114.65x = 157.15 × 110.55
  4. Step 4: Simplify right side
    114.65x = 17,372.93
  5. Step 5: Solve for x
    x = 17,372.93/114.65
  6. Step 6: Final answer
    x = 151.53

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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.