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Finding the Fourth Proportional to 295.52, 407.64 and 197.36

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Solution

The fourth proportional to 295.52, 407.64 and 197.36 is: 272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 407.64 = 197.36 : x
  2. Step 2: Convert to fraction form
    295.52/407.64 = 197.36/x
  3. Step 3: Cross multiply
    295.52x = 407.64 × 197.36
  4. Step 4: Simplify right side
    295.52x = 80,451.83
  5. Step 5: Solve for x
    x = 80,451.83/295.52
  6. Step 6: Final answer
    x = 272.24

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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.