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Finding the Fourth Proportional to 232.02, 320.24 and 143.51

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Solution

The fourth proportional to 232.02, 320.24 and 143.51 is: 198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.02 : 320.24 = 143.51 : x
  2. Step 2: Convert to fraction form
    232.02/320.24 = 143.51/x
  3. Step 3: Cross multiply
    232.02x = 320.24 × 143.51
  4. Step 4: Simplify right side
    232.02x = 45,956.40
  5. Step 5: Solve for x
    x = 45,956.40/232.02
  6. Step 6: Final answer
    x = 198.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.