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Finding the Fourth Proportional to 114.40, 170.42 and 109.18

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Solution

The fourth proportional to 114.40, 170.42 and 109.18 is: 162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.40 : 170.42 = 109.18 : x
  2. Step 2: Convert to fraction form
    114.40/170.42 = 109.18/x
  3. Step 3: Cross multiply
    114.40x = 170.42 × 109.18
  4. Step 4: Simplify right side
    114.40x = 18,606.46
  5. Step 5: Solve for x
    x = 18,606.46/114.40
  6. Step 6: Final answer
    x = 162.64

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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.