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Finding the Fourth Proportional to 156.09, 234.12 and 102.21

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Solution

The fourth proportional to 156.09, 234.12 and 102.21 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 234.12 = 102.21 : x
  2. Step 2: Convert to fraction form
    156.09/234.12 = 102.21/x
  3. Step 3: Cross multiply
    156.09x = 234.12 × 102.21
  4. Step 4: Simplify right side
    156.09x = 23,929.41
  5. Step 5: Solve for x
    x = 23,929.41/156.09
  6. Step 6: Final answer
    x = 153.31

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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.