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Finding the Fourth Proportional to 281.60, 389.12 and 203.84

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Solution

The fourth proportional to 281.60, 389.12 and 203.84 is: 281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 389.12 = 203.84 : x
  2. Step 2: Convert to fraction form
    281.60/389.12 = 203.84/x
  3. Step 3: Cross multiply
    281.60x = 389.12 × 203.84
  4. Step 4: Simplify right side
    281.60x = 79,318.22
  5. Step 5: Solve for x
    x = 79,318.22/281.60
  6. Step 6: Final answer
    x = 281.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.