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Finding the Fourth Proportional to 141.68, 211.58 and 120.89

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Solution

The fourth proportional to 141.68, 211.58 and 120.89 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.68 : 211.58 = 120.89 : x
  2. Step 2: Convert to fraction form
    141.68/211.58 = 120.89/x
  3. Step 3: Cross multiply
    141.68x = 211.58 × 120.89
  4. Step 4: Simplify right side
    141.68x = 25,576.24
  5. Step 5: Solve for x
    x = 25,576.24/141.68
  6. Step 6: Final answer
    x = 180.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.