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Finding the Fourth Proportional to 149.94, 206.89 and 94.68

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Solution

The fourth proportional to 149.94, 206.89 and 94.68 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.94 : 206.89 = 94.68 : x
  2. Step 2: Convert to fraction form
    149.94/206.89 = 94.68/x
  3. Step 3: Cross multiply
    149.94x = 206.89 × 94.68
  4. Step 4: Simplify right side
    149.94x = 19,588.11
  5. Step 5: Solve for x
    x = 19,588.11/149.94
  6. Step 6: Final answer
    x = 130.64

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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.