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Finding the Fourth Proportional to 209.02, 312.72 and 168.52

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Solution

The fourth proportional to 209.02, 312.72 and 168.52 is: 252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 312.72 = 168.52 : x
  2. Step 2: Convert to fraction form
    209.02/312.72 = 168.52/x
  3. Step 3: Cross multiply
    209.02x = 312.72 × 168.52
  4. Step 4: Simplify right side
    209.02x = 52,699.57
  5. Step 5: Solve for x
    x = 52,699.57/209.02
  6. Step 6: Final answer
    x = 252.13

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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.