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Finding the Fourth Proportional to 197.84, 295.12 and 175.28

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Solution

The fourth proportional to 197.84, 295.12 and 175.28 is: 261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.84 : 295.12 = 175.28 : x
  2. Step 2: Convert to fraction form
    197.84/295.12 = 175.28/x
  3. Step 3: Cross multiply
    197.84x = 295.12 × 175.28
  4. Step 4: Simplify right side
    197.84x = 51,728.63
  5. Step 5: Solve for x
    x = 51,728.63/197.84
  6. Step 6: Final answer
    x = 261.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.