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Finding the Fourth Proportional to 170.80, 231.30 and 170.80

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Solution

The fourth proportional to 170.80, 231.30 and 170.80 is: 231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.80 : 231.30 = 170.80 : x
  2. Step 2: Convert to fraction form
    170.80/231.30 = 170.80/x
  3. Step 3: Cross multiply
    170.80x = 231.30 × 170.80
  4. Step 4: Simplify right side
    170.80x = 39,506.04
  5. Step 5: Solve for x
    x = 39,506.04/170.80
  6. Step 6: Final answer
    x = 231.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.