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Finding the Fourth Proportional to 398.40, 550.08 and 293.76

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Solution

The fourth proportional to 398.40, 550.08 and 293.76 is: 405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.40 : 550.08 = 293.76 : x
  2. Step 2: Convert to fraction form
    398.40/550.08 = 293.76/x
  3. Step 3: Cross multiply
    398.40x = 550.08 × 293.76
  4. Step 4: Simplify right side
    398.40x = 161,591.50
  5. Step 5: Solve for x
    x = 161,591.50/398.40
  6. Step 6: Final answer
    x = 405.60

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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.