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Finding the Fourth Proportional to 190.59, 284.51 and 165.08

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Solution

The fourth proportional to 190.59, 284.51 and 165.08 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 284.51 = 165.08 : x
  2. Step 2: Convert to fraction form
    190.59/284.51 = 165.08/x
  3. Step 3: Cross multiply
    190.59x = 284.51 × 165.08
  4. Step 4: Simplify right side
    190.59x = 46,964.66
  5. Step 5: Solve for x
    x = 46,964.66/190.59
  6. Step 6: Final answer
    x = 246.42

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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.