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Finding the Fourth Proportional to 141.10, 212.63 and 121.07

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Solution

The fourth proportional to 141.10, 212.63 and 121.07 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.10 : 212.63 = 121.07 : x
  2. Step 2: Convert to fraction form
    141.10/212.63 = 121.07/x
  3. Step 3: Cross multiply
    141.10x = 212.63 × 121.07
  4. Step 4: Simplify right side
    141.10x = 25,743.11
  5. Step 5: Solve for x
    x = 25,743.11/141.10
  6. Step 6: Final answer
    x = 182.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.