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Finding the Fourth Proportional to 209.16, 289.05 and 186.87

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Solution

The fourth proportional to 209.16, 289.05 and 186.87 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 289.05 = 186.87 : x
  2. Step 2: Convert to fraction form
    209.16/289.05 = 186.87/x
  3. Step 3: Cross multiply
    209.16x = 289.05 × 186.87
  4. Step 4: Simplify right side
    209.16x = 54,014.77
  5. Step 5: Solve for x
    x = 54,014.77/209.16
  6. Step 6: Final answer
    x = 258.25

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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.