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Finding the Fourth Proportional to 209.44, 288.80 and 157.36

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Solution

The fourth proportional to 209.44, 288.80 and 157.36 is: 216.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.44 : 288.80 = 157.36 : x
  2. Step 2: Convert to fraction form
    209.44/288.80 = 157.36/x
  3. Step 3: Cross multiply
    209.44x = 288.80 × 157.36
  4. Step 4: Simplify right side
    209.44x = 45,445.57
  5. Step 5: Solve for x
    x = 45,445.57/209.44
  6. Step 6: Final answer
    x = 216.99

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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.