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Finding the Fourth Proportional to 306.91, 457.99 and 274.06

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Solution

The fourth proportional to 306.91, 457.99 and 274.06 is: 408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.91 : 457.99 = 274.06 : x
  2. Step 2: Convert to fraction form
    306.91/457.99 = 274.06/x
  3. Step 3: Cross multiply
    306.91x = 457.99 × 274.06
  4. Step 4: Simplify right side
    306.91x = 125,514.45
  5. Step 5: Solve for x
    x = 125,514.45/306.91
  6. Step 6: Final answer
    x = 408.97

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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.