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Finding the Fourth Proportional to 666.22, 998.96 and 341.74

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Solution

The fourth proportional to 666.22, 998.96 and 341.74 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.22 : 998.96 = 341.74 : x
  2. Step 2: Convert to fraction form
    666.22/998.96 = 341.74/x
  3. Step 3: Cross multiply
    666.22x = 998.96 × 341.74
  4. Step 4: Simplify right side
    666.22x = 341,384.59
  5. Step 5: Solve for x
    x = 341,384.59/666.22
  6. Step 6: Final answer
    x = 512.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.