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Finding the Fourth Proportional to 358.50, 538.08 and 195.96

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Solution

The fourth proportional to 358.50, 538.08 and 195.96 is: 294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.50 : 538.08 = 195.96 : x
  2. Step 2: Convert to fraction form
    358.50/538.08 = 195.96/x
  3. Step 3: Cross multiply
    358.50x = 538.08 × 195.96
  4. Step 4: Simplify right side
    358.50x = 105,442.16
  5. Step 5: Solve for x
    x = 105,442.16/358.50
  6. Step 6: Final answer
    x = 294.12

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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.