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Finding the Fourth Proportional to 233.25, 351.53 and 220.02

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Solution

The fourth proportional to 233.25, 351.53 and 220.02 is: 331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.25 : 351.53 = 220.02 : x
  2. Step 2: Convert to fraction form
    233.25/351.53 = 220.02/x
  3. Step 3: Cross multiply
    233.25x = 351.53 × 220.02
  4. Step 4: Simplify right side
    233.25x = 77,342.53
  5. Step 5: Solve for x
    x = 77,342.53/233.25
  6. Step 6: Final answer
    x = 331.59

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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.