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Finding the Fourth Proportional to 358.54, 538.28 and 228.54

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Solution

The fourth proportional to 358.54, 538.28 and 228.54 is: 343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.54 : 538.28 = 228.54 : x
  2. Step 2: Convert to fraction form
    358.54/538.28 = 228.54/x
  3. Step 3: Cross multiply
    358.54x = 538.28 × 228.54
  4. Step 4: Simplify right side
    358.54x = 123,018.51
  5. Step 5: Solve for x
    x = 123,018.51/358.54
  6. Step 6: Final answer
    x = 343.11

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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.