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Finding the Fourth Proportional to 344.68, 475.64 and 197.30

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Solution

The fourth proportional to 344.68, 475.64 and 197.30 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.68 : 475.64 = 197.30 : x
  2. Step 2: Convert to fraction form
    344.68/475.64 = 197.30/x
  3. Step 3: Cross multiply
    344.68x = 475.64 × 197.30
  4. Step 4: Simplify right side
    344.68x = 93,843.77
  5. Step 5: Solve for x
    x = 93,843.77/344.68
  6. Step 6: Final answer
    x = 272.26

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