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Finding the Fourth Proportional to 218.90, 302.11 and 131.62

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Solution

The fourth proportional to 218.90, 302.11 and 131.62 is: 181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.90 : 302.11 = 131.62 : x
  2. Step 2: Convert to fraction form
    218.90/302.11 = 131.62/x
  3. Step 3: Cross multiply
    218.90x = 302.11 × 131.62
  4. Step 4: Simplify right side
    218.90x = 39,763.72
  5. Step 5: Solve for x
    x = 39,763.72/218.90
  6. Step 6: Final answer
    x = 181.65

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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.