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Finding the Fourth Proportional to 295.55, 407.84 and 197.29

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Solution

The fourth proportional to 295.55, 407.84 and 197.29 is: 272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.55 : 407.84 = 197.29 : x
  2. Step 2: Convert to fraction form
    295.55/407.84 = 197.29/x
  3. Step 3: Cross multiply
    295.55x = 407.84 × 197.29
  4. Step 4: Simplify right side
    295.55x = 80,462.75
  5. Step 5: Solve for x
    x = 80,462.75/295.55
  6. Step 6: Final answer
    x = 272.25

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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.