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Finding the Fourth Proportional to 662.17, 992.93 and 199.86

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Solution

The fourth proportional to 662.17, 992.93 and 199.86 is: 299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.17 : 992.93 = 199.86 : x
  2. Step 2: Convert to fraction form
    662.17/992.93 = 199.86/x
  3. Step 3: Cross multiply
    662.17x = 992.93 × 199.86
  4. Step 4: Simplify right side
    662.17x = 198,444.01
  5. Step 5: Solve for x
    x = 198,444.01/662.17
  6. Step 6: Final answer
    x = 299.69

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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.