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Finding the Fourth Proportional to 457.02, 685.54 and 196.82

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Solution

The fourth proportional to 457.02, 685.54 and 196.82 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.02 : 685.54 = 196.82 : x
  2. Step 2: Convert to fraction form
    457.02/685.54 = 196.82/x
  3. Step 3: Cross multiply
    457.02x = 685.54 × 196.82
  4. Step 4: Simplify right side
    457.02x = 134,927.98
  5. Step 5: Solve for x
    x = 134,927.98/457.02
  6. Step 6: Final answer
    x = 295.23

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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.