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Finding the Fourth Proportional to 306.81, 457.94 and 270.36

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Solution

The fourth proportional to 306.81, 457.94 and 270.36 is: 403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 457.94 = 270.36 : x
  2. Step 2: Convert to fraction form
    306.81/457.94 = 270.36/x
  3. Step 3: Cross multiply
    306.81x = 457.94 × 270.36
  4. Step 4: Simplify right side
    306.81x = 123,809.33
  5. Step 5: Solve for x
    x = 123,809.33/306.81
  6. Step 6: Final answer
    x = 403.54

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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.