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Finding the Fourth Proportional to 383.59, 575.30 and 188.40

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Solution

The fourth proportional to 383.59, 575.30 and 188.40 is: 282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.59 : 575.30 = 188.40 : x
  2. Step 2: Convert to fraction form
    383.59/575.30 = 188.40/x
  3. Step 3: Cross multiply
    383.59x = 575.30 × 188.40
  4. Step 4: Simplify right side
    383.59x = 108,382.70
  5. Step 5: Solve for x
    x = 108,382.70/383.59
  6. Step 6: Final answer
    x = 282.55

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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.