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Finding the Fourth Proportional to 619.72, 929.84 and 234.88

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Solution

The fourth proportional to 619.72, 929.84 and 234.88 is: 352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.72 : 929.84 = 234.88 : x
  2. Step 2: Convert to fraction form
    619.72/929.84 = 234.88/x
  3. Step 3: Cross multiply
    619.72x = 929.84 × 234.88
  4. Step 4: Simplify right side
    619.72x = 218,396.76
  5. Step 5: Solve for x
    x = 218,396.76/619.72
  6. Step 6: Final answer
    x = 352.41

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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.