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Finding the Fourth Proportional to 358.91, 538.67 and 164.21

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Solution

The fourth proportional to 358.91, 538.67 and 164.21 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.91 : 538.67 = 164.21 : x
  2. Step 2: Convert to fraction form
    358.91/538.67 = 164.21/x
  3. Step 3: Cross multiply
    358.91x = 538.67 × 164.21
  4. Step 4: Simplify right side
    358.91x = 88,452.72
  5. Step 5: Solve for x
    x = 88,452.72/358.91
  6. Step 6: Final answer
    x = 246.45

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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.