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Finding the Fourth Proportional to 196.59, 293.55 and 155.55

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Solution

The fourth proportional to 196.59, 293.55 and 155.55 is: 232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 293.55 = 155.55 : x
  2. Step 2: Convert to fraction form
    196.59/293.55 = 155.55/x
  3. Step 3: Cross multiply
    196.59x = 293.55 × 155.55
  4. Step 4: Simplify right side
    196.59x = 45,661.70
  5. Step 5: Solve for x
    x = 45,661.70/196.59
  6. Step 6: Final answer
    x = 232.27

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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.