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Finding the Fourth Proportional to 411.28, 566.62 and 338.06

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Solution

The fourth proportional to 411.28, 566.62 and 338.06 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.28 : 566.62 = 338.06 : x
  2. Step 2: Convert to fraction form
    411.28/566.62 = 338.06/x
  3. Step 3: Cross multiply
    411.28x = 566.62 × 338.06
  4. Step 4: Simplify right side
    411.28x = 191,552.13
  5. Step 5: Solve for x
    x = 191,552.13/411.28
  6. Step 6: Final answer
    x = 465.75

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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.