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Finding the Fourth Proportional to 411.71, 567.19 and 287.15

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Solution

The fourth proportional to 411.71, 567.19 and 287.15 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.71 : 567.19 = 287.15 : x
  2. Step 2: Convert to fraction form
    411.71/567.19 = 287.15/x
  3. Step 3: Cross multiply
    411.71x = 567.19 × 287.15
  4. Step 4: Simplify right side
    411.71x = 162,864.34
  5. Step 5: Solve for x
    x = 162,864.34/411.71
  6. Step 6: Final answer
    x = 395.58

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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.