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Finding the Fourth Proportional to 294.40, 440.90 and 233.33

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Solution

The fourth proportional to 294.40, 440.90 and 233.33 is: 349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.40 : 440.90 = 233.33 : x
  2. Step 2: Convert to fraction form
    294.40/440.90 = 233.33/x
  3. Step 3: Cross multiply
    294.40x = 440.90 × 233.33
  4. Step 4: Simplify right side
    294.40x = 102,874.03
  5. Step 5: Solve for x
    x = 102,874.03/294.40
  6. Step 6: Final answer
    x = 349.44

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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.