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Finding the Fourth Proportional to 619.78, 929.12 and 234.76

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Solution

The fourth proportional to 619.78, 929.12 and 234.76 is: 351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.78 : 929.12 = 234.76 : x
  2. Step 2: Convert to fraction form
    619.78/929.12 = 234.76/x
  3. Step 3: Cross multiply
    619.78x = 929.12 × 234.76
  4. Step 4: Simplify right side
    619.78x = 218,120.21
  5. Step 5: Solve for x
    x = 218,120.21/619.78
  6. Step 6: Final answer
    x = 351.93

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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.