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Finding the Fourth Proportional to 143.36, 215.20 and 114.56

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Solution

The fourth proportional to 143.36, 215.20 and 114.56 is: 171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.36 : 215.20 = 114.56 : x
  2. Step 2: Convert to fraction form
    143.36/215.20 = 114.56/x
  3. Step 3: Cross multiply
    143.36x = 215.20 × 114.56
  4. Step 4: Simplify right side
    143.36x = 24,653.31
  5. Step 5: Solve for x
    x = 24,653.31/143.36
  6. Step 6: Final answer
    x = 171.97

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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.