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Finding the Fourth Proportional to 196.40, 292.90 and 192.56

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Solution

The fourth proportional to 196.40, 292.90 and 192.56 is: 287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 292.90 = 192.56 : x
  2. Step 2: Convert to fraction form
    196.40/292.90 = 192.56/x
  3. Step 3: Cross multiply
    196.40x = 292.90 × 192.56
  4. Step 4: Simplify right side
    196.40x = 56,400.82
  5. Step 5: Solve for x
    x = 56,400.82/196.40
  6. Step 6: Final answer
    x = 287.17

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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.