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Finding the Fourth Proportional to 411.77, 568.10 and 256.51

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Solution

The fourth proportional to 411.77, 568.10 and 256.51 is: 353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.77 : 568.10 = 256.51 : x
  2. Step 2: Convert to fraction form
    411.77/568.10 = 256.51/x
  3. Step 3: Cross multiply
    411.77x = 568.10 × 256.51
  4. Step 4: Simplify right side
    411.77x = 145,723.33
  5. Step 5: Solve for x
    x = 145,723.33/411.77
  6. Step 6: Final answer
    x = 353.89

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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.