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Finding the Fourth Proportional to 600.41, 900.77 and 230.21

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Solution

The fourth proportional to 600.41, 900.77 and 230.21 is: 345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.41 : 900.77 = 230.21 : x
  2. Step 2: Convert to fraction form
    600.41/900.77 = 230.21/x
  3. Step 3: Cross multiply
    600.41x = 900.77 × 230.21
  4. Step 4: Simplify right side
    600.41x = 207,367.36
  5. Step 5: Solve for x
    x = 207,367.36/600.41
  6. Step 6: Final answer
    x = 345.38

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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.