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Finding the Fourth Proportional to 358.82, 538.80 and 281.96

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Solution

The fourth proportional to 358.82, 538.80 and 281.96 is: 423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 538.80 = 281.96 : x
  2. Step 2: Convert to fraction form
    358.82/538.80 = 281.96/x
  3. Step 3: Cross multiply
    358.82x = 538.80 × 281.96
  4. Step 4: Simplify right side
    358.82x = 151,920.05
  5. Step 5: Solve for x
    x = 151,920.05/358.82
  6. Step 6: Final answer
    x = 423.39

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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.