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Finding the Fourth Proportional to 131.41, 180.86 and 94.49

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Solution

The fourth proportional to 131.41, 180.86 and 94.49 is: 130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.41 : 180.86 = 94.49 : x
  2. Step 2: Convert to fraction form
    131.41/180.86 = 94.49/x
  3. Step 3: Cross multiply
    131.41x = 180.86 × 94.49
  4. Step 4: Simplify right side
    131.41x = 17,089.46
  5. Step 5: Solve for x
    x = 17,089.46/131.41
  6. Step 6: Final answer
    x = 130.05

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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.