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Finding the Fourth Proportional to 103.91, 156.78 and 101.84

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Solution

The fourth proportional to 103.91, 156.78 and 101.84 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.91 : 156.78 = 101.84 : x
  2. Step 2: Convert to fraction form
    103.91/156.78 = 101.84/x
  3. Step 3: Cross multiply
    103.91x = 156.78 × 101.84
  4. Step 4: Simplify right side
    103.91x = 15,965.69
  5. Step 5: Solve for x
    x = 15,965.69/103.91
  6. Step 6: Final answer
    x = 153.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.