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Finding the Fourth Proportional to 403.96, 556.68 and 287.32

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Solution

The fourth proportional to 403.96, 556.68 and 287.32 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.96 : 556.68 = 287.32 : x
  2. Step 2: Convert to fraction form
    403.96/556.68 = 287.32/x
  3. Step 3: Cross multiply
    403.96x = 556.68 × 287.32
  4. Step 4: Simplify right side
    403.96x = 159,944.98
  5. Step 5: Solve for x
    x = 159,944.98/403.96
  6. Step 6: Final answer
    x = 395.95

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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.