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Finding the Fourth Proportional to 295.67, 407.94 and 197.25

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Solution

The fourth proportional to 295.67, 407.94 and 197.25 is: 272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.67 : 407.94 = 197.25 : x
  2. Step 2: Convert to fraction form
    295.67/407.94 = 197.25/x
  3. Step 3: Cross multiply
    295.67x = 407.94 × 197.25
  4. Step 4: Simplify right side
    295.67x = 80,466.17
  5. Step 5: Solve for x
    x = 80,466.17/295.67
  6. Step 6: Final answer
    x = 272.15

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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.