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Finding the Fourth Proportional to 209.60, 285.37 and 208.95

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Solution

The fourth proportional to 209.60, 285.37 and 208.95 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 285.37 = 208.95 : x
  2. Step 2: Convert to fraction form
    209.60/285.37 = 208.95/x
  3. Step 3: Cross multiply
    209.60x = 285.37 × 208.95
  4. Step 4: Simplify right side
    209.60x = 59,628.06
  5. Step 5: Solve for x
    x = 59,628.06/209.60
  6. Step 6: Final answer
    x = 284.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.