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Finding the Fourth Proportional to 401.13, 598.86 and 343.37

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Solution

The fourth proportional to 401.13, 598.86 and 343.37 is: 512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.13 : 598.86 = 343.37 : x
  2. Step 2: Convert to fraction form
    401.13/598.86 = 343.37/x
  3. Step 3: Cross multiply
    401.13x = 598.86 × 343.37
  4. Step 4: Simplify right side
    401.13x = 205,630.56
  5. Step 5: Solve for x
    x = 205,630.56/401.13
  6. Step 6: Final answer
    x = 512.63

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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.