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Finding the Fourth Proportional to 114.09, 170.87 and 99.65

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Solution

The fourth proportional to 114.09, 170.87 and 99.65 is: 149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 170.87 = 99.65 : x
  2. Step 2: Convert to fraction form
    114.09/170.87 = 99.65/x
  3. Step 3: Cross multiply
    114.09x = 170.87 × 99.65
  4. Step 4: Simplify right side
    114.09x = 17,025.84
  5. Step 5: Solve for x
    x = 17,025.84/114.09
  6. Step 6: Final answer
    x = 149.23

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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.