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Finding the Fourth Proportional to 383.17, 574.79 and 190.75

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Solution

The fourth proportional to 383.17, 574.79 and 190.75 is: 286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.17 : 574.79 = 190.75 : x
  2. Step 2: Convert to fraction form
    383.17/574.79 = 190.75/x
  3. Step 3: Cross multiply
    383.17x = 574.79 × 190.75
  4. Step 4: Simplify right side
    383.17x = 109,641.19
  5. Step 5: Solve for x
    x = 109,641.19/383.17
  6. Step 6: Final answer
    x = 286.14

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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.