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Finding the Fourth Proportional to 141.84, 211.26 and 141.15

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Solution

The fourth proportional to 141.84, 211.26 and 141.15 is: 210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 211.26 = 141.15 : x
  2. Step 2: Convert to fraction form
    141.84/211.26 = 141.15/x
  3. Step 3: Cross multiply
    141.84x = 211.26 × 141.15
  4. Step 4: Simplify right side
    141.84x = 29,819.35
  5. Step 5: Solve for x
    x = 29,819.35/141.84
  6. Step 6: Final answer
    x = 210.23

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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.