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Finding the Fourth Proportional to 403.11, 556.00 and 278.78

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Solution

The fourth proportional to 403.11, 556.00 and 278.78 is: 384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.11 : 556.00 = 278.78 : x
  2. Step 2: Convert to fraction form
    403.11/556.00 = 278.78/x
  3. Step 3: Cross multiply
    403.11x = 556.00 × 278.78
  4. Step 4: Simplify right side
    403.11x = 154,998.20
  5. Step 5: Solve for x
    x = 154,998.20/403.11
  6. Step 6: Final answer
    x = 384.51

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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.