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Finding the Fourth Proportional to 141.50, 211.64 and 121.46

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Solution

The fourth proportional to 141.50, 211.64 and 121.46 is: 181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.50 : 211.64 = 121.46 : x
  2. Step 2: Convert to fraction form
    141.50/211.64 = 121.46/x
  3. Step 3: Cross multiply
    141.50x = 211.64 × 121.46
  4. Step 4: Simplify right side
    141.50x = 25,704.13
  5. Step 5: Solve for x
    x = 25,704.13/141.50
  6. Step 6: Final answer
    x = 181.66

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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.