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Finding the Fourth Proportional to 143.26, 212.50 and 141.10

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Solution

The fourth proportional to 143.26, 212.50 and 141.10 is: 209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.26 : 212.50 = 141.10 : x
  2. Step 2: Convert to fraction form
    143.26/212.50 = 141.10/x
  3. Step 3: Cross multiply
    143.26x = 212.50 × 141.10
  4. Step 4: Simplify right side
    143.26x = 29,983.75
  5. Step 5: Solve for x
    x = 29,983.75/143.26
  6. Step 6: Final answer
    x = 209.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.