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Finding the Fourth Proportional to 411.05, 567.20 and 242.99

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Solution

The fourth proportional to 411.05, 567.20 and 242.99 is: 335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.05 : 567.20 = 242.99 : x
  2. Step 2: Convert to fraction form
    411.05/567.20 = 242.99/x
  3. Step 3: Cross multiply
    411.05x = 567.20 × 242.99
  4. Step 4: Simplify right side
    411.05x = 137,819.88
  5. Step 5: Solve for x
    x = 137,819.88/411.05
  6. Step 6: Final answer
    x = 335.29

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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.