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Finding the Fourth Proportional to 332.77, 496.22 and 287.41

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Solution

The fourth proportional to 332.77, 496.22 and 287.41 is: 428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.77 : 496.22 = 287.41 : x
  2. Step 2: Convert to fraction form
    332.77/496.22 = 287.41/x
  3. Step 3: Cross multiply
    332.77x = 496.22 × 287.41
  4. Step 4: Simplify right side
    332.77x = 142,618.59
  5. Step 5: Solve for x
    x = 142,618.59/332.77
  6. Step 6: Final answer
    x = 428.58

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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.