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Finding the Fourth Proportional to 141.58, 212.58 and 111.22

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Solution

The fourth proportional to 141.58, 212.58 and 111.22 is: 166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.58 : 212.58 = 111.22 : x
  2. Step 2: Convert to fraction form
    141.58/212.58 = 111.22/x
  3. Step 3: Cross multiply
    141.58x = 212.58 × 111.22
  4. Step 4: Simplify right side
    141.58x = 23,643.15
  5. Step 5: Solve for x
    x = 23,643.15/141.58
  6. Step 6: Final answer
    x = 166.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.