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Finding the Fourth Proportional to 143.95, 214.82 and 128.57

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Solution

The fourth proportional to 143.95, 214.82 and 128.57 is: 191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.95 : 214.82 = 128.57 : x
  2. Step 2: Convert to fraction form
    143.95/214.82 = 128.57/x
  3. Step 3: Cross multiply
    143.95x = 214.82 × 128.57
  4. Step 4: Simplify right side
    143.95x = 27,619.38
  5. Step 5: Solve for x
    x = 27,619.38/143.95
  6. Step 6: Final answer
    x = 191.87

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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.