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Finding the Fourth Proportional to 549.97, 825.50 and 290.37

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Solution

The fourth proportional to 549.97, 825.50 and 290.37 is: 435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.97 : 825.50 = 290.37 : x
  2. Step 2: Convert to fraction form
    549.97/825.50 = 290.37/x
  3. Step 3: Cross multiply
    549.97x = 825.50 × 290.37
  4. Step 4: Simplify right side
    549.97x = 239,700.44
  5. Step 5: Solve for x
    x = 239,700.44/549.97
  6. Step 6: Final answer
    x = 435.84

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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.