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Finding the Fourth Proportional to 141.56, 211.90 and 121.08

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Solution

The fourth proportional to 141.56, 211.90 and 121.08 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.56 : 211.90 = 121.08 : x
  2. Step 2: Convert to fraction form
    141.56/211.90 = 121.08/x
  3. Step 3: Cross multiply
    141.56x = 211.90 × 121.08
  4. Step 4: Simplify right side
    141.56x = 25,656.85
  5. Step 5: Solve for x
    x = 25,656.85/141.56
  6. Step 6: Final answer
    x = 181.24

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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.