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Finding the Fourth Proportional to 209.57, 314.40 and 106.86

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Solution

The fourth proportional to 209.57, 314.40 and 106.86 is: 160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 314.40 = 106.86 : x
  2. Step 2: Convert to fraction form
    209.57/314.40 = 106.86/x
  3. Step 3: Cross multiply
    209.57x = 314.40 × 106.86
  4. Step 4: Simplify right side
    209.57x = 33,596.01
  5. Step 5: Solve for x
    x = 33,596.01/209.57
  6. Step 6: Final answer
    x = 160.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.