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Finding the Fourth Proportional to 141.37, 212.11 and 102.79

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Solution

The fourth proportional to 141.37, 212.11 and 102.79 is: 154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.37 : 212.11 = 102.79 : x
  2. Step 2: Convert to fraction form
    141.37/212.11 = 102.79/x
  3. Step 3: Cross multiply
    141.37x = 212.11 × 102.79
  4. Step 4: Simplify right side
    141.37x = 21,802.00
  5. Step 5: Solve for x
    x = 21,802.00/141.37
  6. Step 6: Final answer
    x = 154.22

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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.