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Finding the Fourth Proportional to 313.25, 469.61 and 279.08

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Solution

The fourth proportional to 313.25, 469.61 and 279.08 is: 418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 469.61 = 279.08 : x
  2. Step 2: Convert to fraction form
    313.25/469.61 = 279.08/x
  3. Step 3: Cross multiply
    313.25x = 469.61 × 279.08
  4. Step 4: Simplify right side
    313.25x = 131,057.82
  5. Step 5: Solve for x
    x = 131,057.82/313.25
  6. Step 6: Final answer
    x = 418.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.