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Finding the Fourth Proportional to 442.55, 664.01 and 195.63

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Solution

The fourth proportional to 442.55, 664.01 and 195.63 is: 293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.55 : 664.01 = 195.63 : x
  2. Step 2: Convert to fraction form
    442.55/664.01 = 195.63/x
  3. Step 3: Cross multiply
    442.55x = 664.01 × 195.63
  4. Step 4: Simplify right side
    442.55x = 129,900.77
  5. Step 5: Solve for x
    x = 129,900.77/442.55
  6. Step 6: Final answer
    x = 293.53

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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.