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Finding the Fourth Proportional to 233.39, 349.73 and 142.04

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Solution

The fourth proportional to 233.39, 349.73 and 142.04 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.39 : 349.73 = 142.04 : x
  2. Step 2: Convert to fraction form
    233.39/349.73 = 142.04/x
  3. Step 3: Cross multiply
    233.39x = 349.73 × 142.04
  4. Step 4: Simplify right side
    233.39x = 49,673.19
  5. Step 5: Solve for x
    x = 49,673.19/233.39
  6. Step 6: Final answer
    x = 212.84

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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.