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Finding the Fourth Proportional to 403.68, 556.87 and 305.27

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Solution

The fourth proportional to 403.68, 556.87 and 305.27 is: 421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.68 : 556.87 = 305.27 : x
  2. Step 2: Convert to fraction form
    403.68/556.87 = 305.27/x
  3. Step 3: Cross multiply
    403.68x = 556.87 × 305.27
  4. Step 4: Simplify right side
    403.68x = 169,995.70
  5. Step 5: Solve for x
    x = 169,995.70/403.68
  6. Step 6: Final answer
    x = 421.12

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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.