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Finding the Fourth Proportional to 313.29, 471.83 and 279.36

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Solution

The fourth proportional to 313.29, 471.83 and 279.36 is: 420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 471.83 = 279.36 : x
  2. Step 2: Convert to fraction form
    313.29/471.83 = 279.36/x
  3. Step 3: Cross multiply
    313.29x = 471.83 × 279.36
  4. Step 4: Simplify right side
    313.29x = 131,809.03
  5. Step 5: Solve for x
    x = 131,809.03/313.29
  6. Step 6: Final answer
    x = 420.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.