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Finding the Fourth Proportional to 358.88, 495.09 and 211.42

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Solution

The fourth proportional to 358.88, 495.09 and 211.42 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.88 : 495.09 = 211.42 : x
  2. Step 2: Convert to fraction form
    358.88/495.09 = 211.42/x
  3. Step 3: Cross multiply
    358.88x = 495.09 × 211.42
  4. Step 4: Simplify right side
    358.88x = 104,672.55
  5. Step 5: Solve for x
    x = 104,672.55/358.88
  6. Step 6: Final answer
    x = 291.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.