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Finding the Fourth Proportional to 209.13, 288.68 and 150.95

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Solution

The fourth proportional to 209.13, 288.68 and 150.95 is: 208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.13 : 288.68 = 150.95 : x
  2. Step 2: Convert to fraction form
    209.13/288.68 = 150.95/x
  3. Step 3: Cross multiply
    209.13x = 288.68 × 150.95
  4. Step 4: Simplify right side
    209.13x = 43,574.05
  5. Step 5: Solve for x
    x = 43,574.05/209.13
  6. Step 6: Final answer
    x = 208.36

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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.