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Finding the Fourth Proportional to 114.27, 157.45 and 95.54

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Solution

The fourth proportional to 114.27, 157.45 and 95.54 is: 131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.27 : 157.45 = 95.54 : x
  2. Step 2: Convert to fraction form
    114.27/157.45 = 95.54/x
  3. Step 3: Cross multiply
    114.27x = 157.45 × 95.54
  4. Step 4: Simplify right side
    114.27x = 15,041.93
  5. Step 5: Solve for x
    x = 15,041.93/114.27
  6. Step 6: Final answer
    x = 131.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.