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Finding the Fourth Proportional to 155.97, 213.37 and 153.14

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Solution

The fourth proportional to 155.97, 213.37 and 153.14 is: 209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.97 : 213.37 = 153.14 : x
  2. Step 2: Convert to fraction form
    155.97/213.37 = 153.14/x
  3. Step 3: Cross multiply
    155.97x = 213.37 × 153.14
  4. Step 4: Simplify right side
    155.97x = 32,674.03
  5. Step 5: Solve for x
    x = 32,674.03/155.97
  6. Step 6: Final answer
    x = 209.49

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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.