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Finding the Fourth Proportional to 401.92, 602.83 and 127.99

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Solution

The fourth proportional to 401.92, 602.83 and 127.99 is: 191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.92 : 602.83 = 127.99 : x
  2. Step 2: Convert to fraction form
    401.92/602.83 = 127.99/x
  3. Step 3: Cross multiply
    401.92x = 602.83 × 127.99
  4. Step 4: Simplify right side
    401.92x = 77,156.21
  5. Step 5: Solve for x
    x = 77,156.21/401.92
  6. Step 6: Final answer
    x = 191.97

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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.