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Finding the Fourth Proportional to 153.56, 212.09 and 98.34

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Solution

The fourth proportional to 153.56, 212.09 and 98.34 is: 135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.56 : 212.09 = 98.34 : x
  2. Step 2: Convert to fraction form
    153.56/212.09 = 98.34/x
  3. Step 3: Cross multiply
    153.56x = 212.09 × 98.34
  4. Step 4: Simplify right side
    153.56x = 20,856.44
  5. Step 5: Solve for x
    x = 20,856.44/153.56
  6. Step 6: Final answer
    x = 135.82

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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.