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Finding the Fourth Proportional to 141.65, 212.07 and 110.77

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Solution

The fourth proportional to 141.65, 212.07 and 110.77 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.65 : 212.07 = 110.77 : x
  2. Step 2: Convert to fraction form
    141.65/212.07 = 110.77/x
  3. Step 3: Cross multiply
    141.65x = 212.07 × 110.77
  4. Step 4: Simplify right side
    141.65x = 23,490.26
  5. Step 5: Solve for x
    x = 23,490.26/141.65
  6. Step 6: Final answer
    x = 165.83

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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.