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Finding the Fourth Proportional to 309.99, 462.47 and 298.78

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Solution

The fourth proportional to 309.99, 462.47 and 298.78 is: 445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.99 : 462.47 = 298.78 : x
  2. Step 2: Convert to fraction form
    309.99/462.47 = 298.78/x
  3. Step 3: Cross multiply
    309.99x = 462.47 × 298.78
  4. Step 4: Simplify right side
    309.99x = 138,176.79
  5. Step 5: Solve for x
    x = 138,176.79/309.99
  6. Step 6: Final answer
    x = 445.75

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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.