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Finding the Fourth Proportional to 403.80, 550.14 and 403.80

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Solution

The fourth proportional to 403.80, 550.14 and 403.80 is: 550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 550.14 = 403.80 : x
  2. Step 2: Convert to fraction form
    403.80/550.14 = 403.80/x
  3. Step 3: Cross multiply
    403.80x = 550.14 × 403.80
  4. Step 4: Simplify right side
    403.80x = 222,146.53
  5. Step 5: Solve for x
    x = 222,146.53/403.80
  6. Step 6: Final answer
    x = 550.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.