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Finding the Fourth Proportional to 196.76, 293.69 and 173.70

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Solution

The fourth proportional to 196.76, 293.69 and 173.70 is: 259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.76 : 293.69 = 173.70 : x
  2. Step 2: Convert to fraction form
    196.76/293.69 = 173.70/x
  3. Step 3: Cross multiply
    196.76x = 293.69 × 173.70
  4. Step 4: Simplify right side
    196.76x = 51,013.08
  5. Step 5: Solve for x
    x = 51,013.08/196.76
  6. Step 6: Final answer
    x = 259.26

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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.