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Finding the Fourth Proportional to 306.38, 457.19 and 270.38

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Solution

The fourth proportional to 306.38, 457.19 and 270.38 is: 403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.38 : 457.19 = 270.38 : x
  2. Step 2: Convert to fraction form
    306.38/457.19 = 270.38/x
  3. Step 3: Cross multiply
    306.38x = 457.19 × 270.38
  4. Step 4: Simplify right side
    306.38x = 123,616.34
  5. Step 5: Solve for x
    x = 123,616.34/306.38
  6. Step 6: Final answer
    x = 403.47

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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.