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Finding the Fourth Proportional to 114.31, 170.66 and 109.45

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Solution

The fourth proportional to 114.31, 170.66 and 109.45 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.31 : 170.66 = 109.45 : x
  2. Step 2: Convert to fraction form
    114.31/170.66 = 109.45/x
  3. Step 3: Cross multiply
    114.31x = 170.66 × 109.45
  4. Step 4: Simplify right side
    114.31x = 18,678.74
  5. Step 5: Solve for x
    x = 18,678.74/114.31
  6. Step 6: Final answer
    x = 163.40

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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.