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Finding the Fourth Proportional to 411.02, 566.97 and 245.18

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Solution

The fourth proportional to 411.02, 566.97 and 245.18 is: 338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.02 : 566.97 = 245.18 : x
  2. Step 2: Convert to fraction form
    411.02/566.97 = 245.18/x
  3. Step 3: Cross multiply
    411.02x = 566.97 × 245.18
  4. Step 4: Simplify right side
    411.02x = 139,009.70
  5. Step 5: Solve for x
    x = 139,009.70/411.02
  6. Step 6: Final answer
    x = 338.21

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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.