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Finding the Fourth Proportional to 550, 759.08 and 363.68

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Solution

The fourth proportional to 550, 759.08 and 363.68 is: 501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 759.08 = 363.68 : x
  2. Step 2: Convert to fraction form
    550/759.08 = 363.68/x
  3. Step 3: Cross multiply
    550x = 759.08 × 363.68
  4. Step 4: Simplify right side
    550x = 276,062.21
  5. Step 5: Solve for x
    x = 276,062.21/550
  6. Step 6: Final answer
    x = 501.93

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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.