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Finding the Fourth Proportional to 383.56, 575.20 and 127

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Solution

The fourth proportional to 383.56, 575.20 and 127 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.56 : 575.20 = 127 : x
  2. Step 2: Convert to fraction form
    383.56/575.20 = 127/x
  3. Step 3: Cross multiply
    383.56x = 575.20 × 127
  4. Step 4: Simplify right side
    383.56x = 73,050.40
  5. Step 5: Solve for x
    x = 73,050.40/383.56
  6. Step 6: Final answer
    x = 190.45

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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.