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Finding the Fourth Proportional to 411.21, 567.71 and 253.91

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Solution

The fourth proportional to 411.21, 567.71 and 253.91 is: 350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.21 : 567.71 = 253.91 : x
  2. Step 2: Convert to fraction form
    411.21/567.71 = 253.91/x
  3. Step 3: Cross multiply
    411.21x = 567.71 × 253.91
  4. Step 4: Simplify right side
    411.21x = 144,143.14
  5. Step 5: Solve for x
    x = 144,143.14/411.21
  6. Step 6: Final answer
    x = 350.53

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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.