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Finding the Fourth Proportional to 411.57, 567.96 and 245.78

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Solution

The fourth proportional to 411.57, 567.96 and 245.78 is: 339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 567.96 = 245.78 : x
  2. Step 2: Convert to fraction form
    411.57/567.96 = 245.78/x
  3. Step 3: Cross multiply
    411.57x = 567.96 × 245.78
  4. Step 4: Simplify right side
    411.57x = 139,590.37
  5. Step 5: Solve for x
    x = 139,590.37/411.57
  6. Step 6: Final answer
    x = 339.17

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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.