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Finding the Fourth Proportional to 143.02, 215.38 and 120.34

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Solution

The fourth proportional to 143.02, 215.38 and 120.34 is: 181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.02 : 215.38 = 120.34 : x
  2. Step 2: Convert to fraction form
    143.02/215.38 = 120.34/x
  3. Step 3: Cross multiply
    143.02x = 215.38 × 120.34
  4. Step 4: Simplify right side
    143.02x = 25,917.75
  5. Step 5: Solve for x
    x = 25,917.75/143.02
  6. Step 6: Final answer
    x = 181.22

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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.