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Finding the Fourth Proportional to 449.60, 677.48 and 370.22

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Solution

The fourth proportional to 449.60, 677.48 and 370.22 is: 557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 677.48 = 370.22 : x
  2. Step 2: Convert to fraction form
    449.60/677.48 = 370.22/x
  3. Step 3: Cross multiply
    449.60x = 677.48 × 370.22
  4. Step 4: Simplify right side
    449.60x = 250,811.41
  5. Step 5: Solve for x
    x = 250,811.41/449.60
  6. Step 6: Final answer
    x = 557.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.