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Finding the Fourth Proportional to 385.06, 575.34 and 280.44

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Solution

The fourth proportional to 385.06, 575.34 and 280.44 is: 419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.06 : 575.34 = 280.44 : x
  2. Step 2: Convert to fraction form
    385.06/575.34 = 280.44/x
  3. Step 3: Cross multiply
    385.06x = 575.34 × 280.44
  4. Step 4: Simplify right side
    385.06x = 161,348.35
  5. Step 5: Solve for x
    x = 161,348.35/385.06
  6. Step 6: Final answer
    x = 419.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.