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Finding the Fourth Proportional to 141.74, 211.59 and 121.08

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Solution

The fourth proportional to 141.74, 211.59 and 121.08 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.74 : 211.59 = 121.08 : x
  2. Step 2: Convert to fraction form
    141.74/211.59 = 121.08/x
  3. Step 3: Cross multiply
    141.74x = 211.59 × 121.08
  4. Step 4: Simplify right side
    141.74x = 25,619.32
  5. Step 5: Solve for x
    x = 25,619.32/141.74
  6. Step 6: Final answer
    x = 180.75

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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.