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Finding the Fourth Proportional to 156.33, 213.84 and 154.71

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Solution

The fourth proportional to 156.33, 213.84 and 154.71 is: 211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 213.84 = 154.71 : x
  2. Step 2: Convert to fraction form
    156.33/213.84 = 154.71/x
  3. Step 3: Cross multiply
    156.33x = 213.84 × 154.71
  4. Step 4: Simplify right side
    156.33x = 33,083.19
  5. Step 5: Solve for x
    x = 33,083.19/156.33
  6. Step 6: Final answer
    x = 211.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.