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Finding the Fourth Proportional to 209.48, 288.92 and 172.58

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Solution

The fourth proportional to 209.48, 288.92 and 172.58 is: 238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.48 : 288.92 = 172.58 : x
  2. Step 2: Convert to fraction form
    209.48/288.92 = 172.58/x
  3. Step 3: Cross multiply
    209.48x = 288.92 × 172.58
  4. Step 4: Simplify right side
    209.48x = 49,860.80
  5. Step 5: Solve for x
    x = 49,860.80/209.48
  6. Step 6: Final answer
    x = 238.03

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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.