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Finding the Fourth Proportional to 197.56, 295.19 and 145.84

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Solution

The fourth proportional to 197.56, 295.19 and 145.84 is: 217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.56 : 295.19 = 145.84 : x
  2. Step 2: Convert to fraction form
    197.56/295.19 = 145.84/x
  3. Step 3: Cross multiply
    197.56x = 295.19 × 145.84
  4. Step 4: Simplify right side
    197.56x = 43,050.51
  5. Step 5: Solve for x
    x = 43,050.51/197.56
  6. Step 6: Final answer
    x = 217.91

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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.