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Finding the Fourth Proportional to 295.69, 407.91 and 197.32

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Solution

The fourth proportional to 295.69, 407.91 and 197.32 is: 272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 407.91 = 197.32 : x
  2. Step 2: Convert to fraction form
    295.69/407.91 = 197.32/x
  3. Step 3: Cross multiply
    295.69x = 407.91 × 197.32
  4. Step 4: Simplify right side
    295.69x = 80,488.80
  5. Step 5: Solve for x
    x = 80,488.80/295.69
  6. Step 6: Final answer
    x = 272.21

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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.