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Finding the Fourth Proportional to 402.98, 556.81 and 319.19

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Solution

The fourth proportional to 402.98, 556.81 and 319.19 is: 441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.98 : 556.81 = 319.19 : x
  2. Step 2: Convert to fraction form
    402.98/556.81 = 319.19/x
  3. Step 3: Cross multiply
    402.98x = 556.81 × 319.19
  4. Step 4: Simplify right side
    402.98x = 177,724.60
  5. Step 5: Solve for x
    x = 177,724.60/402.98
  6. Step 6: Final answer
    x = 441.03

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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.