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Finding the Fourth Proportional to 306.11, 457.40 and 269.21

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Solution

The fourth proportional to 306.11, 457.40 and 269.21 is: 402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.11 : 457.40 = 269.21 : x
  2. Step 2: Convert to fraction form
    306.11/457.40 = 269.21/x
  3. Step 3: Cross multiply
    306.11x = 457.40 × 269.21
  4. Step 4: Simplify right side
    306.11x = 123,135.31
  5. Step 5: Solve for x
    x = 123,135.31/306.11
  6. Step 6: Final answer
    x = 402.26

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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.