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Finding the Fourth Proportional to 233.02, 349.38 and 135.54

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Solution

The fourth proportional to 233.02, 349.38 and 135.54 is: 203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 349.38 = 135.54 : x
  2. Step 2: Convert to fraction form
    233.02/349.38 = 135.54/x
  3. Step 3: Cross multiply
    233.02x = 349.38 × 135.54
  4. Step 4: Simplify right side
    233.02x = 47,354.97
  5. Step 5: Solve for x
    x = 47,354.97/233.02
  6. Step 6: Final answer
    x = 203.22

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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.