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Finding the Fourth Proportional to 449.60, 619.20 and 345.92

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Solution

The fourth proportional to 449.60, 619.20 and 345.92 is: 476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 619.20 = 345.92 : x
  2. Step 2: Convert to fraction form
    449.60/619.20 = 345.92/x
  3. Step 3: Cross multiply
    449.60x = 619.20 × 345.92
  4. Step 4: Simplify right side
    449.60x = 214,193.66
  5. Step 5: Solve for x
    x = 214,193.66/449.60
  6. Step 6: Final answer
    x = 476.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.