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Finding the Fourth Proportional to 403.62, 553.86 and 366.66

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Solution

The fourth proportional to 403.62, 553.86 and 366.66 is: 503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.62 : 553.86 = 366.66 : x
  2. Step 2: Convert to fraction form
    403.62/553.86 = 366.66/x
  3. Step 3: Cross multiply
    403.62x = 553.86 × 366.66
  4. Step 4: Simplify right side
    403.62x = 203,078.31
  5. Step 5: Solve for x
    x = 203,078.31/403.62
  6. Step 6: Final answer
    x = 503.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.