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Finding the Fourth Proportional to 233.02, 351.18 and 219.34

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Solution

The fourth proportional to 233.02, 351.18 and 219.34 is: 330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 351.18 = 219.34 : x
  2. Step 2: Convert to fraction form
    233.02/351.18 = 219.34/x
  3. Step 3: Cross multiply
    233.02x = 351.18 × 219.34
  4. Step 4: Simplify right side
    233.02x = 77,027.82
  5. Step 5: Solve for x
    x = 77,027.82/233.02
  6. Step 6: Final answer
    x = 330.56

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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.