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Finding the Fourth Proportional to 103.26, 155.66 and 102.35

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Solution

The fourth proportional to 103.26, 155.66 and 102.35 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.26 : 155.66 = 102.35 : x
  2. Step 2: Convert to fraction form
    103.26/155.66 = 102.35/x
  3. Step 3: Cross multiply
    103.26x = 155.66 × 102.35
  4. Step 4: Simplify right side
    103.26x = 15,930.51
  5. Step 5: Solve for x
    x = 15,930.51/103.26
  6. Step 6: Final answer
    x = 154.28

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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.