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Finding the Fourth Proportional to 309.86, 462.63 and 279.14

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Solution

The fourth proportional to 309.86, 462.63 and 279.14 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.86 : 462.63 = 279.14 : x
  2. Step 2: Convert to fraction form
    309.86/462.63 = 279.14/x
  3. Step 3: Cross multiply
    309.86x = 462.63 × 279.14
  4. Step 4: Simplify right side
    309.86x = 129,137.14
  5. Step 5: Solve for x
    x = 129,137.14/309.86
  6. Step 6: Final answer
    x = 416.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.