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Finding the Fourth Proportional to 411.79, 568.35 and 264.61

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Solution

The fourth proportional to 411.79, 568.35 and 264.61 is: 365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.79 : 568.35 = 264.61 : x
  2. Step 2: Convert to fraction form
    411.79/568.35 = 264.61/x
  3. Step 3: Cross multiply
    411.79x = 568.35 × 264.61
  4. Step 4: Simplify right side
    411.79x = 150,386.93
  5. Step 5: Solve for x
    x = 150,386.93/411.79
  6. Step 6: Final answer
    x = 365.21

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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.