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Finding the Fourth Proportional to 358.83, 538.39 and 243.21

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Solution

The fourth proportional to 358.83, 538.39 and 243.21 is: 364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.83 : 538.39 = 243.21 : x
  2. Step 2: Convert to fraction form
    358.83/538.39 = 243.21/x
  3. Step 3: Cross multiply
    358.83x = 538.39 × 243.21
  4. Step 4: Simplify right side
    358.83x = 130,941.33
  5. Step 5: Solve for x
    x = 130,941.33/358.83
  6. Step 6: Final answer
    x = 364.91

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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.