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Finding the Fourth Proportional to 190.34, 285.66 and 162.95

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Solution

The fourth proportional to 190.34, 285.66 and 162.95 is: 244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.34 : 285.66 = 162.95 : x
  2. Step 2: Convert to fraction form
    190.34/285.66 = 162.95/x
  3. Step 3: Cross multiply
    190.34x = 285.66 × 162.95
  4. Step 4: Simplify right side
    190.34x = 46,548.30
  5. Step 5: Solve for x
    x = 46,548.30/190.34
  6. Step 6: Final answer
    x = 244.55

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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.