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Finding the Fourth Proportional to 411.02, 567.21 and 224.51

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Solution

The fourth proportional to 411.02, 567.21 and 224.51 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.02 : 567.21 = 224.51 : x
  2. Step 2: Convert to fraction form
    411.02/567.21 = 224.51/x
  3. Step 3: Cross multiply
    411.02x = 567.21 × 224.51
  4. Step 4: Simplify right side
    411.02x = 127,344.32
  5. Step 5: Solve for x
    x = 127,344.32/411.02
  6. Step 6: Final answer
    x = 309.83

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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.