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Finding the Fourth Proportional to 114.11, 170.84 and 103.31

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Solution

The fourth proportional to 114.11, 170.84 and 103.31 is: 154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.11 : 170.84 = 103.31 : x
  2. Step 2: Convert to fraction form
    114.11/170.84 = 103.31/x
  3. Step 3: Cross multiply
    114.11x = 170.84 × 103.31
  4. Step 4: Simplify right side
    114.11x = 17,649.53
  5. Step 5: Solve for x
    x = 17,649.53/114.11
  6. Step 6: Final answer
    x = 154.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.