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Finding the Fourth Proportional to 212.21, 292.37 and 159.67

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Solution

The fourth proportional to 212.21, 292.37 and 159.67 is: 219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.21 : 292.37 = 159.67 : x
  2. Step 2: Convert to fraction form
    212.21/292.37 = 159.67/x
  3. Step 3: Cross multiply
    212.21x = 292.37 × 159.67
  4. Step 4: Simplify right side
    212.21x = 46,682.72
  5. Step 5: Solve for x
    x = 46,682.72/212.21
  6. Step 6: Final answer
    x = 219.98

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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.