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Finding the Fourth Proportional to 102.98, 155.31 and 102.98

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Solution

The fourth proportional to 102.98, 155.31 and 102.98 is: 155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.98 : 155.31 = 102.98 : x
  2. Step 2: Convert to fraction form
    102.98/155.31 = 102.98/x
  3. Step 3: Cross multiply
    102.98x = 155.31 × 102.98
  4. Step 4: Simplify right side
    102.98x = 15,993.05
  5. Step 5: Solve for x
    x = 15,993.05/102.98
  6. Step 6: Final answer
    x = 155.31

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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.