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Finding the Fourth Proportional to 190.71, 284.49 and 177.75

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Solution

The fourth proportional to 190.71, 284.49 and 177.75 is: 265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.71 : 284.49 = 177.75 : x
  2. Step 2: Convert to fraction form
    190.71/284.49 = 177.75/x
  3. Step 3: Cross multiply
    190.71x = 284.49 × 177.75
  4. Step 4: Simplify right side
    190.71x = 50,568.10
  5. Step 5: Solve for x
    x = 50,568.10/190.71
  6. Step 6: Final answer
    x = 265.16

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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.