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Finding the Fourth Proportional to 114.38, 170.50 and 113.30

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Solution

The fourth proportional to 114.38, 170.50 and 113.30 is: 168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.38 : 170.50 = 113.30 : x
  2. Step 2: Convert to fraction form
    114.38/170.50 = 113.30/x
  3. Step 3: Cross multiply
    114.38x = 170.50 × 113.30
  4. Step 4: Simplify right side
    114.38x = 19,317.65
  5. Step 5: Solve for x
    x = 19,317.65/114.38
  6. Step 6: Final answer
    x = 168.89

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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.