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Finding the Fourth Proportional to 398.59, 550.35 and 293.83

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Solution

The fourth proportional to 398.59, 550.35 and 293.83 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.59 : 550.35 = 293.83 : x
  2. Step 2: Convert to fraction form
    398.59/550.35 = 293.83/x
  3. Step 3: Cross multiply
    398.59x = 550.35 × 293.83
  4. Step 4: Simplify right side
    398.59x = 161,707.96
  5. Step 5: Solve for x
    x = 161,707.96/398.59
  6. Step 6: Final answer
    x = 405.70

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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.