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Finding the Fourth Proportional to 156.56, 216.44 and 119.66

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Solution

The fourth proportional to 156.56, 216.44 and 119.66 is: 165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.56 : 216.44 = 119.66 : x
  2. Step 2: Convert to fraction form
    156.56/216.44 = 119.66/x
  3. Step 3: Cross multiply
    156.56x = 216.44 × 119.66
  4. Step 4: Simplify right side
    156.56x = 25,897.53
  5. Step 5: Solve for x
    x = 25,897.53/156.56
  6. Step 6: Final answer
    x = 165.42

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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.