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Finding the Fourth Proportional to 189.85, 262.01 and 116.10

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Solution

The fourth proportional to 189.85, 262.01 and 116.10 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.85 : 262.01 = 116.10 : x
  2. Step 2: Convert to fraction form
    189.85/262.01 = 116.10/x
  3. Step 3: Cross multiply
    189.85x = 262.01 × 116.10
  4. Step 4: Simplify right side
    189.85x = 30,419.36
  5. Step 5: Solve for x
    x = 30,419.36/189.85
  6. Step 6: Final answer
    x = 160.23

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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.