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Finding the Fourth Proportional to 114.90, 173.26 and 102.30

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Solution

The fourth proportional to 114.90, 173.26 and 102.30 is: 154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.90 : 173.26 = 102.30 : x
  2. Step 2: Convert to fraction form
    114.90/173.26 = 102.30/x
  3. Step 3: Cross multiply
    114.90x = 173.26 × 102.30
  4. Step 4: Simplify right side
    114.90x = 17,724.50
  5. Step 5: Solve for x
    x = 17,724.50/114.90
  6. Step 6: Final answer
    x = 154.26

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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.