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Finding the Fourth Proportional to 358.44, 538.16 and 228.04

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Solution

The fourth proportional to 358.44, 538.16 and 228.04 is: 342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.44 : 538.16 = 228.04 : x
  2. Step 2: Convert to fraction form
    358.44/538.16 = 228.04/x
  3. Step 3: Cross multiply
    358.44x = 538.16 × 228.04
  4. Step 4: Simplify right side
    358.44x = 122,722.01
  5. Step 5: Solve for x
    x = 122,722.01/358.44
  6. Step 6: Final answer
    x = 342.38

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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.