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Finding the Fourth Proportional to 411.37, 567.64 and 243.35

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Solution

The fourth proportional to 411.37, 567.64 and 243.35 is: 335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.37 : 567.64 = 243.35 : x
  2. Step 2: Convert to fraction form
    411.37/567.64 = 243.35/x
  3. Step 3: Cross multiply
    411.37x = 567.64 × 243.35
  4. Step 4: Simplify right side
    411.37x = 138,134.79
  5. Step 5: Solve for x
    x = 138,134.79/411.37
  6. Step 6: Final answer
    x = 335.79

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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.