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Finding the Fourth Proportional to 197.47, 294.47 and 175.78

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Solution

The fourth proportional to 197.47, 294.47 and 175.78 is: 262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.47 : 294.47 = 175.78 : x
  2. Step 2: Convert to fraction form
    197.47/294.47 = 175.78/x
  3. Step 3: Cross multiply
    197.47x = 294.47 × 175.78
  4. Step 4: Simplify right side
    197.47x = 51,761.94
  5. Step 5: Solve for x
    x = 51,761.94/197.47
  6. Step 6: Final answer
    x = 262.13

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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.