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Finding the Fourth Proportional to 403.34, 556.78 and 278.96

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Solution

The fourth proportional to 403.34, 556.78 and 278.96 is: 385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.34 : 556.78 = 278.96 : x
  2. Step 2: Convert to fraction form
    403.34/556.78 = 278.96/x
  3. Step 3: Cross multiply
    403.34x = 556.78 × 278.96
  4. Step 4: Simplify right side
    403.34x = 155,319.35
  5. Step 5: Solve for x
    x = 155,319.35/403.34
  6. Step 6: Final answer
    x = 385.08

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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.