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Finding the Fourth Proportional to 196.45, 294.71 and 128.05

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Solution

The fourth proportional to 196.45, 294.71 and 128.05 is: 192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.45 : 294.71 = 128.05 : x
  2. Step 2: Convert to fraction form
    196.45/294.71 = 128.05/x
  3. Step 3: Cross multiply
    196.45x = 294.71 × 128.05
  4. Step 4: Simplify right side
    196.45x = 37,737.62
  5. Step 5: Solve for x
    x = 37,737.62/196.45
  6. Step 6: Final answer
    x = 192.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.