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Finding the Fourth Proportional to 109.23, 150.35 and 94.65

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Solution

The fourth proportional to 109.23, 150.35 and 94.65 is: 130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.23 : 150.35 = 94.65 : x
  2. Step 2: Convert to fraction form
    109.23/150.35 = 94.65/x
  3. Step 3: Cross multiply
    109.23x = 150.35 × 94.65
  4. Step 4: Simplify right side
    109.23x = 14,230.44
  5. Step 5: Solve for x
    x = 14,230.44/109.23
  6. Step 6: Final answer
    x = 130.28

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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.