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Finding the Fourth Proportional to 401.97, 600.18 and 341.13

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Solution

The fourth proportional to 401.97, 600.18 and 341.13 is: 509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.97 : 600.18 = 341.13 : x
  2. Step 2: Convert to fraction form
    401.97/600.18 = 341.13/x
  3. Step 3: Cross multiply
    401.97x = 600.18 × 341.13
  4. Step 4: Simplify right side
    401.97x = 204,739.40
  5. Step 5: Solve for x
    x = 204,739.40/401.97
  6. Step 6: Final answer
    x = 509.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.