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Finding the Fourth Proportional to 114.40, 170.40 and 113.91

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Solution

The fourth proportional to 114.40, 170.40 and 113.91 is: 169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 170.40 = 113.91 : x
  2. Step 2: Convert to fraction form
    114.40/170.40 = 113.91/x
  3. Step 3: Cross multiply
    114.40x = 170.40 × 113.91
  4. Step 4: Simplify right side
    114.40x = 19,410.26
  5. Step 5: Solve for x
    x = 19,410.26/114.40
  6. Step 6: Final answer
    x = 169.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.