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Finding the Fourth Proportional to 198.18, 295.47 and 188.01

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Solution

The fourth proportional to 198.18, 295.47 and 188.01 is: 280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.18 : 295.47 = 188.01 : x
  2. Step 2: Convert to fraction form
    198.18/295.47 = 188.01/x
  3. Step 3: Cross multiply
    198.18x = 295.47 × 188.01
  4. Step 4: Simplify right side
    198.18x = 55,551.31
  5. Step 5: Solve for x
    x = 55,551.31/198.18
  6. Step 6: Final answer
    x = 280.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.