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Finding the Fourth Proportional to 105.34, 156.78 and 104.50

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Solution

The fourth proportional to 105.34, 156.78 and 104.50 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.34 : 156.78 = 104.50 : x
  2. Step 2: Convert to fraction form
    105.34/156.78 = 104.50/x
  3. Step 3: Cross multiply
    105.34x = 156.78 × 104.50
  4. Step 4: Simplify right side
    105.34x = 16,383.51
  5. Step 5: Solve for x
    x = 16,383.51/105.34
  6. Step 6: Final answer
    x = 155.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.