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Finding the Fourth Proportional to 154.77, 213.09 and 131.41

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Solution

The fourth proportional to 154.77, 213.09 and 131.41 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.77 : 213.09 = 131.41 : x
  2. Step 2: Convert to fraction form
    154.77/213.09 = 131.41/x
  3. Step 3: Cross multiply
    154.77x = 213.09 × 131.41
  4. Step 4: Simplify right side
    154.77x = 28,001.09
  5. Step 5: Solve for x
    x = 28,001.09/154.77
  6. Step 6: Final answer
    x = 180.93

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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.