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Finding the Fourth Proportional to 168.75, 253.21 and 82.06

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Solution

The fourth proportional to 168.75, 253.21 and 82.06 is: 123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.75 : 253.21 = 82.06 : x
  2. Step 2: Convert to fraction form
    168.75/253.21 = 82.06/x
  3. Step 3: Cross multiply
    168.75x = 253.21 × 82.06
  4. Step 4: Simplify right side
    168.75x = 20,779.15
  5. Step 5: Solve for x
    x = 20,779.15/168.75
  6. Step 6: Final answer
    x = 123.14

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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.