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Finding the Fourth Proportional to 309.02, 462.99 and 276.86

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Solution

The fourth proportional to 309.02, 462.99 and 276.86 is: 414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.02 : 462.99 = 276.86 : x
  2. Step 2: Convert to fraction form
    309.02/462.99 = 276.86/x
  3. Step 3: Cross multiply
    309.02x = 462.99 × 276.86
  4. Step 4: Simplify right side
    309.02x = 128,183.41
  5. Step 5: Solve for x
    x = 128,183.41/309.02
  6. Step 6: Final answer
    x = 414.81

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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.