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Finding the Fourth Proportional to 449.15, 619.05 and 385.66

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Solution

The fourth proportional to 449.15, 619.05 and 385.66 is: 531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.15 : 619.05 = 385.66 : x
  2. Step 2: Convert to fraction form
    449.15/619.05 = 385.66/x
  3. Step 3: Cross multiply
    449.15x = 619.05 × 385.66
  4. Step 4: Simplify right side
    449.15x = 238,742.82
  5. Step 5: Solve for x
    x = 238,742.82/449.15
  6. Step 6: Final answer
    x = 531.54

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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.