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Finding the Fourth Proportional to 306.68, 457.45 and 299.48

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Solution

The fourth proportional to 306.68, 457.45 and 299.48 is: 446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.68 : 457.45 = 299.48 : x
  2. Step 2: Convert to fraction form
    306.68/457.45 = 299.48/x
  3. Step 3: Cross multiply
    306.68x = 457.45 × 299.48
  4. Step 4: Simplify right side
    306.68x = 136,997.13
  5. Step 5: Solve for x
    x = 136,997.13/306.68
  6. Step 6: Final answer
    x = 446.71

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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.