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Finding the Fourth Proportional to 141.96, 211.59 and 141.48

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Solution

The fourth proportional to 141.96, 211.59 and 141.48 is: 210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.96 : 211.59 = 141.48 : x
  2. Step 2: Convert to fraction form
    141.96/211.59 = 141.48/x
  3. Step 3: Cross multiply
    141.96x = 211.59 × 141.48
  4. Step 4: Simplify right side
    141.96x = 29,935.75
  5. Step 5: Solve for x
    x = 29,935.75/141.96
  6. Step 6: Final answer
    x = 210.87

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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.