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Finding the Fourth Proportional to 515.81, 711.84 and 306.11

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Solution

The fourth proportional to 515.81, 711.84 and 306.11 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.81 : 711.84 = 306.11 : x
  2. Step 2: Convert to fraction form
    515.81/711.84 = 306.11/x
  3. Step 3: Cross multiply
    515.81x = 711.84 × 306.11
  4. Step 4: Simplify right side
    515.81x = 217,901.34
  5. Step 5: Solve for x
    x = 217,901.34/515.81
  6. Step 6: Final answer
    x = 422.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.