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Finding the Fourth Proportional to 209.58, 291.19 and 207

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Solution

The fourth proportional to 209.58, 291.19 and 207 is: 287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 291.19 = 207 : x
  2. Step 2: Convert to fraction form
    209.58/291.19 = 207/x
  3. Step 3: Cross multiply
    209.58x = 291.19 × 207
  4. Step 4: Simplify right side
    209.58x = 60,276.33
  5. Step 5: Solve for x
    x = 60,276.33/209.58
  6. Step 6: Final answer
    x = 287.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.