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Finding the Fourth Proportional to 403.11, 603.71 and 231.75

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Solution

The fourth proportional to 403.11, 603.71 and 231.75 is: 347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.11 : 603.71 = 231.75 : x
  2. Step 2: Convert to fraction form
    403.11/603.71 = 231.75/x
  3. Step 3: Cross multiply
    403.11x = 603.71 × 231.75
  4. Step 4: Simplify right side
    403.11x = 139,908.63
  5. Step 5: Solve for x
    x = 139,908.63/403.11
  6. Step 6: Final answer
    x = 347.07

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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.