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Finding the Fourth Proportional to 233.02, 349.51 and 142.30

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Solution

The fourth proportional to 233.02, 349.51 and 142.30 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 349.51 = 142.30 : x
  2. Step 2: Convert to fraction form
    233.02/349.51 = 142.30/x
  3. Step 3: Cross multiply
    233.02x = 349.51 × 142.30
  4. Step 4: Simplify right side
    233.02x = 49,735.27
  5. Step 5: Solve for x
    x = 49,735.27/233.02
  6. Step 6: Final answer
    x = 213.44

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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.