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Finding the Fourth Proportional to 141.11, 212.93 and 135.49

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Solution

The fourth proportional to 141.11, 212.93 and 135.49 is: 204.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.11 : 212.93 = 135.49 : x
  2. Step 2: Convert to fraction form
    141.11/212.93 = 135.49/x
  3. Step 3: Cross multiply
    141.11x = 212.93 × 135.49
  4. Step 4: Simplify right side
    141.11x = 28,849.89
  5. Step 5: Solve for x
    x = 28,849.89/141.11
  6. Step 6: Final answer
    x = 204.45

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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.