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Finding the Fourth Proportional to 196.55, 292.85 and 195.74

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Solution

The fourth proportional to 196.55, 292.85 and 195.74 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.55 : 292.85 = 195.74 : x
  2. Step 2: Convert to fraction form
    196.55/292.85 = 195.74/x
  3. Step 3: Cross multiply
    196.55x = 292.85 × 195.74
  4. Step 4: Simplify right side
    196.55x = 57,322.46
  5. Step 5: Solve for x
    x = 57,322.46/196.55
  6. Step 6: Final answer
    x = 291.64

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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.