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Finding the Fourth Proportional to 190.74, 284.48 and 162.04

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Solution

The fourth proportional to 190.74, 284.48 and 162.04 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 284.48 = 162.04 : x
  2. Step 2: Convert to fraction form
    190.74/284.48 = 162.04/x
  3. Step 3: Cross multiply
    190.74x = 284.48 × 162.04
  4. Step 4: Simplify right side
    190.74x = 46,097.14
  5. Step 5: Solve for x
    x = 46,097.14/190.74
  6. Step 6: Final answer
    x = 241.68

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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.