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Finding the Fourth Proportional to 143.75, 214.57 and 126.45

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Solution

The fourth proportional to 143.75, 214.57 and 126.45 is: 188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.75 : 214.57 = 126.45 : x
  2. Step 2: Convert to fraction form
    143.75/214.57 = 126.45/x
  3. Step 3: Cross multiply
    143.75x = 214.57 × 126.45
  4. Step 4: Simplify right side
    143.75x = 27,131.30
  5. Step 5: Solve for x
    x = 27,131.30/143.75
  6. Step 6: Final answer
    x = 188.75

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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.