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Finding the Fourth Proportional to 209.34, 287.36 and 180.18

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Solution

The fourth proportional to 209.34, 287.36 and 180.18 is: 247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 287.36 = 180.18 : x
  2. Step 2: Convert to fraction form
    209.34/287.36 = 180.18/x
  3. Step 3: Cross multiply
    209.34x = 287.36 × 180.18
  4. Step 4: Simplify right side
    209.34x = 51,776.52
  5. Step 5: Solve for x
    x = 51,776.52/209.34
  6. Step 6: Final answer
    x = 247.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.