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Finding the Fourth Proportional to 209.08, 287.90 and 172.18

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Solution

The fourth proportional to 209.08, 287.90 and 172.18 is: 237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 287.90 = 172.18 : x
  2. Step 2: Convert to fraction form
    209.08/287.90 = 172.18/x
  3. Step 3: Cross multiply
    209.08x = 287.90 × 172.18
  4. Step 4: Simplify right side
    209.08x = 49,570.12
  5. Step 5: Solve for x
    x = 49,570.12/209.08
  6. Step 6: Final answer
    x = 237.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.