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Finding the Fourth Proportional to 196.47, 292.61 and 194.13

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Solution

The fourth proportional to 196.47, 292.61 and 194.13 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.47 : 292.61 = 194.13 : x
  2. Step 2: Convert to fraction form
    196.47/292.61 = 194.13/x
  3. Step 3: Cross multiply
    196.47x = 292.61 × 194.13
  4. Step 4: Simplify right side
    196.47x = 56,803.41
  5. Step 5: Solve for x
    x = 56,803.41/196.47
  6. Step 6: Final answer
    x = 289.12

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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.