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Finding the Fourth Proportional to 164.21, 246.17 and 102.35

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Solution

The fourth proportional to 164.21, 246.17 and 102.35 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 246.17 = 102.35 : x
  2. Step 2: Convert to fraction form
    164.21/246.17 = 102.35/x
  3. Step 3: Cross multiply
    164.21x = 246.17 × 102.35
  4. Step 4: Simplify right side
    164.21x = 25,193.76
  5. Step 5: Solve for x
    x = 25,193.76/164.21
  6. Step 6: Final answer
    x = 153.43

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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.