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Finding the Fourth Proportional to 435.57, 601.37 and 303.07

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Solution

The fourth proportional to 435.57, 601.37 and 303.07 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.57 : 601.37 = 303.07 : x
  2. Step 2: Convert to fraction form
    435.57/601.37 = 303.07/x
  3. Step 3: Cross multiply
    435.57x = 601.37 × 303.07
  4. Step 4: Simplify right side
    435.57x = 182,255.99
  5. Step 5: Solve for x
    x = 182,255.99/435.57
  6. Step 6: Final answer
    x = 418.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.