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Finding the Fourth Proportional to 209.55, 289.32 and 160.34

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Solution

The fourth proportional to 209.55, 289.32 and 160.34 is: 221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.55 : 289.32 = 160.34 : x
  2. Step 2: Convert to fraction form
    209.55/289.32 = 160.34/x
  3. Step 3: Cross multiply
    209.55x = 289.32 × 160.34
  4. Step 4: Simplify right side
    209.55x = 46,389.57
  5. Step 5: Solve for x
    x = 46,389.57/209.55
  6. Step 6: Final answer
    x = 221.38

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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.