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Finding the Fourth Proportional to 114.71, 157.47 and 105.49

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Solution

The fourth proportional to 114.71, 157.47 and 105.49 is: 144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 157.47 = 105.49 : x
  2. Step 2: Convert to fraction form
    114.71/157.47 = 105.49/x
  3. Step 3: Cross multiply
    114.71x = 157.47 × 105.49
  4. Step 4: Simplify right side
    114.71x = 16,611.17
  5. Step 5: Solve for x
    x = 16,611.17/114.71
  6. Step 6: Final answer
    x = 144.81

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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.