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Finding the Fourth Proportional to 358.90, 538.87 and 222.51

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Solution

The fourth proportional to 358.90, 538.87 and 222.51 is: 334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.90 : 538.87 = 222.51 : x
  2. Step 2: Convert to fraction form
    358.90/538.87 = 222.51/x
  3. Step 3: Cross multiply
    358.90x = 538.87 × 222.51
  4. Step 4: Simplify right side
    358.90x = 119,905.85
  5. Step 5: Solve for x
    x = 119,905.85/358.90
  6. Step 6: Final answer
    x = 334.09

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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.