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Finding the Fourth Proportional to 141.84, 212.64 and 115.11

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Solution

The fourth proportional to 141.84, 212.64 and 115.11 is: 172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 212.64 = 115.11 : x
  2. Step 2: Convert to fraction form
    141.84/212.64 = 115.11/x
  3. Step 3: Cross multiply
    141.84x = 212.64 × 115.11
  4. Step 4: Simplify right side
    141.84x = 24,476.99
  5. Step 5: Solve for x
    x = 24,476.99/141.84
  6. Step 6: Final answer
    x = 172.57

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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.