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Finding the Fourth Proportional to 411.23, 566.85 and 306.14

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Solution

The fourth proportional to 411.23, 566.85 and 306.14 is: 421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.23 : 566.85 = 306.14 : x
  2. Step 2: Convert to fraction form
    411.23/566.85 = 306.14/x
  3. Step 3: Cross multiply
    411.23x = 566.85 × 306.14
  4. Step 4: Simplify right side
    411.23x = 173,532.62
  5. Step 5: Solve for x
    x = 173,532.62/411.23
  6. Step 6: Final answer
    x = 421.99

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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.