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Finding the Fourth Proportional to 383.47, 574.99 and 177.92

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Solution

The fourth proportional to 383.47, 574.99 and 177.92 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.47 : 574.99 = 177.92 : x
  2. Step 2: Convert to fraction form
    383.47/574.99 = 177.92/x
  3. Step 3: Cross multiply
    383.47x = 574.99 × 177.92
  4. Step 4: Simplify right side
    383.47x = 102,301.33
  5. Step 5: Solve for x
    x = 102,301.33/383.47
  6. Step 6: Final answer
    x = 266.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.