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Finding the Fourth Proportional to 411.60, 568.08 and 287.16

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Solution

The fourth proportional to 411.60, 568.08 and 287.16 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.60 : 568.08 = 287.16 : x
  2. Step 2: Convert to fraction form
    411.60/568.08 = 287.16/x
  3. Step 3: Cross multiply
    411.60x = 568.08 × 287.16
  4. Step 4: Simplify right side
    411.60x = 163,129.85
  5. Step 5: Solve for x
    x = 163,129.85/411.60
  6. Step 6: Final answer
    x = 396.33

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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.