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Finding the Fourth Proportional to 105.84, 156.96 and 104.80

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Solution

The fourth proportional to 105.84, 156.96 and 104.80 is: 155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 156.96 = 104.80 : x
  2. Step 2: Convert to fraction form
    105.84/156.96 = 104.80/x
  3. Step 3: Cross multiply
    105.84x = 156.96 × 104.80
  4. Step 4: Simplify right side
    105.84x = 16,449.41
  5. Step 5: Solve for x
    x = 16,449.41/105.84
  6. Step 6: Final answer
    x = 155.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.