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Finding the Fourth Proportional to 403.47, 556.73 and 226.40

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Solution

The fourth proportional to 403.47, 556.73 and 226.40 is: 312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.47 : 556.73 = 226.40 : x
  2. Step 2: Convert to fraction form
    403.47/556.73 = 226.40/x
  3. Step 3: Cross multiply
    403.47x = 556.73 × 226.40
  4. Step 4: Simplify right side
    403.47x = 126,039.76
  5. Step 5: Solve for x
    x = 126,039.76/403.47
  6. Step 6: Final answer
    x = 312.39

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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.