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Finding the Fourth Proportional to 409.66, 566.14 and 335.86

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Solution

The fourth proportional to 409.66, 566.14 and 335.86 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.66 : 566.14 = 335.86 : x
  2. Step 2: Convert to fraction form
    409.66/566.14 = 335.86/x
  3. Step 3: Cross multiply
    409.66x = 566.14 × 335.86
  4. Step 4: Simplify right side
    409.66x = 190,143.78
  5. Step 5: Solve for x
    x = 190,143.78/409.66
  6. Step 6: Final answer
    x = 464.15

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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.