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Finding the Fourth Proportional to 114.81, 158.15 and 82.01

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Solution

The fourth proportional to 114.81, 158.15 and 82.01 is: 112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.81 : 158.15 = 82.01 : x
  2. Step 2: Convert to fraction form
    114.81/158.15 = 82.01/x
  3. Step 3: Cross multiply
    114.81x = 158.15 × 82.01
  4. Step 4: Simplify right side
    114.81x = 12,968.68
  5. Step 5: Solve for x
    x = 12,968.68/114.81
  6. Step 6: Final answer
    x = 112.96

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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.