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Finding the Fourth Proportional to 104.27, 155.44 and 102.45

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Solution

The fourth proportional to 104.27, 155.44 and 102.45 is: 152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.27 : 155.44 = 102.45 : x
  2. Step 2: Convert to fraction form
    104.27/155.44 = 102.45/x
  3. Step 3: Cross multiply
    104.27x = 155.44 × 102.45
  4. Step 4: Simplify right side
    104.27x = 15,924.32
  5. Step 5: Solve for x
    x = 15,924.32/104.27
  6. Step 6: Final answer
    x = 152.72

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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.