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Finding the Fourth Proportional to 411.12, 567.36 and 253.80

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Solution

The fourth proportional to 411.12, 567.36 and 253.80 is: 350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 567.36 = 253.80 : x
  2. Step 2: Convert to fraction form
    411.12/567.36 = 253.80/x
  3. Step 3: Cross multiply
    411.12x = 567.36 × 253.80
  4. Step 4: Simplify right side
    411.12x = 143,995.97
  5. Step 5: Solve for x
    x = 143,995.97/411.12
  6. Step 6: Final answer
    x = 350.25

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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.