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Finding the Fourth Proportional to 442.93, 664.58 and 196.01

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Solution

The fourth proportional to 442.93, 664.58 and 196.01 is: 294.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.93 : 664.58 = 196.01 : x
  2. Step 2: Convert to fraction form
    442.93/664.58 = 196.01/x
  3. Step 3: Cross multiply
    442.93x = 664.58 × 196.01
  4. Step 4: Simplify right side
    442.93x = 130,260.02
  5. Step 5: Solve for x
    x = 130,260.02/442.93
  6. Step 6: Final answer
    x = 294.09

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Why These Related Problems?

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