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Finding the Fourth Proportional to 109.40, 150.88 and 76.64

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Solution

The fourth proportional to 109.40, 150.88 and 76.64 is: 105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.40 : 150.88 = 76.64 : x
  2. Step 2: Convert to fraction form
    109.40/150.88 = 76.64/x
  3. Step 3: Cross multiply
    109.40x = 150.88 × 76.64
  4. Step 4: Simplify right side
    109.40x = 11,563.44
  5. Step 5: Solve for x
    x = 11,563.44/109.40
  6. Step 6: Final answer
    x = 105.70

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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.