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Finding the Fourth Proportional to 209.77, 289.34 and 131.02

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Solution

The fourth proportional to 209.77, 289.34 and 131.02 is: 180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.77 : 289.34 = 131.02 : x
  2. Step 2: Convert to fraction form
    209.77/289.34 = 131.02/x
  3. Step 3: Cross multiply
    209.77x = 289.34 × 131.02
  4. Step 4: Simplify right side
    209.77x = 37,908.67
  5. Step 5: Solve for x
    x = 37,908.67/209.77
  6. Step 6: Final answer
    x = 180.72

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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.