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Finding the Fourth Proportional to 196.76, 293.40 and 192.10

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Solution

The fourth proportional to 196.76, 293.40 and 192.10 is: 286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.76 : 293.40 = 192.10 : x
  2. Step 2: Convert to fraction form
    196.76/293.40 = 192.10/x
  3. Step 3: Cross multiply
    196.76x = 293.40 × 192.10
  4. Step 4: Simplify right side
    196.76x = 56,362.14
  5. Step 5: Solve for x
    x = 56,362.14/196.76
  6. Step 6: Final answer
    x = 286.45

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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.