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Finding the Fourth Proportional to 209.47, 287.52 and 185.63

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Solution

The fourth proportional to 209.47, 287.52 and 185.63 is: 254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.47 : 287.52 = 185.63 : x
  2. Step 2: Convert to fraction form
    209.47/287.52 = 185.63/x
  3. Step 3: Cross multiply
    209.47x = 287.52 × 185.63
  4. Step 4: Simplify right side
    209.47x = 53,372.36
  5. Step 5: Solve for x
    x = 53,372.36/209.47
  6. Step 6: Final answer
    x = 254.80

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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.