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Finding the Fourth Proportional to 309.74, 460.95 and 299.61

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Solution

The fourth proportional to 309.74, 460.95 and 299.61 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.74 : 460.95 = 299.61 : x
  2. Step 2: Convert to fraction form
    309.74/460.95 = 299.61/x
  3. Step 3: Cross multiply
    309.74x = 460.95 × 299.61
  4. Step 4: Simplify right side
    309.74x = 138,104.11
  5. Step 5: Solve for x
    x = 138,104.11/309.74
  6. Step 6: Final answer
    x = 445.88

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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.