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Finding the Fourth Proportional to 383.99, 575.75 and 164.45

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Solution

The fourth proportional to 383.99, 575.75 and 164.45 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.99 : 575.75 = 164.45 : x
  2. Step 2: Convert to fraction form
    383.99/575.75 = 164.45/x
  3. Step 3: Cross multiply
    383.99x = 575.75 × 164.45
  4. Step 4: Simplify right side
    383.99x = 94,682.09
  5. Step 5: Solve for x
    x = 94,682.09/383.99
  6. Step 6: Final answer
    x = 246.58

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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.