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Finding the Fourth Proportional to 156.09, 234.19 and 140.80

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Solution

The fourth proportional to 156.09, 234.19 and 140.80 is: 211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 234.19 = 140.80 : x
  2. Step 2: Convert to fraction form
    156.09/234.19 = 140.80/x
  3. Step 3: Cross multiply
    156.09x = 234.19 × 140.80
  4. Step 4: Simplify right side
    156.09x = 32,973.95
  5. Step 5: Solve for x
    x = 32,973.95/156.09
  6. Step 6: Final answer
    x = 211.25

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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.