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Finding the Fourth Proportional to 196.69, 293.63 and 155.70

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Solution

The fourth proportional to 196.69, 293.63 and 155.70 is: 232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.69 : 293.63 = 155.70 : x
  2. Step 2: Convert to fraction form
    196.69/293.63 = 155.70/x
  3. Step 3: Cross multiply
    196.69x = 293.63 × 155.70
  4. Step 4: Simplify right side
    196.69x = 45,718.19
  5. Step 5: Solve for x
    x = 45,718.19/196.69
  6. Step 6: Final answer
    x = 232.44

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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.