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Finding the Fourth Proportional to 196.17, 295.35 and 142.44

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Solution

The fourth proportional to 196.17, 295.35 and 142.44 is: 214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.17 : 295.35 = 142.44 : x
  2. Step 2: Convert to fraction form
    196.17/295.35 = 142.44/x
  3. Step 3: Cross multiply
    196.17x = 295.35 × 142.44
  4. Step 4: Simplify right side
    196.17x = 42,069.65
  5. Step 5: Solve for x
    x = 42,069.65/196.17
  6. Step 6: Final answer
    x = 214.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.