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Finding the Fourth Proportional to 641.37, 962.06 and 202.60

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Solution

The fourth proportional to 641.37, 962.06 and 202.60 is: 303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.37 : 962.06 = 202.60 : x
  2. Step 2: Convert to fraction form
    641.37/962.06 = 202.60/x
  3. Step 3: Cross multiply
    641.37x = 962.06 × 202.60
  4. Step 4: Simplify right side
    641.37x = 194,909.94
  5. Step 5: Solve for x
    x = 194,909.94/641.37
  6. Step 6: Final answer
    x = 303.90

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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.