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Finding the Fourth Proportional to 358.78, 538.35 and 194.20

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Solution

The fourth proportional to 358.78, 538.35 and 194.20 is: 291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 538.35 = 194.20 : x
  2. Step 2: Convert to fraction form
    358.78/538.35 = 194.20/x
  3. Step 3: Cross multiply
    358.78x = 538.35 × 194.20
  4. Step 4: Simplify right side
    358.78x = 104,545.50
  5. Step 5: Solve for x
    x = 104,545.50/358.78
  6. Step 6: Final answer
    x = 291.39

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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.