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Finding the Fourth Proportional to 197.59, 295.04 and 156.55

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Solution

The fourth proportional to 197.59, 295.04 and 156.55 is: 233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 295.04 = 156.55 : x
  2. Step 2: Convert to fraction form
    197.59/295.04 = 156.55/x
  3. Step 3: Cross multiply
    197.59x = 295.04 × 156.55
  4. Step 4: Simplify right side
    197.59x = 46,188.51
  5. Step 5: Solve for x
    x = 46,188.51/197.59
  6. Step 6: Final answer
    x = 233.76

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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.