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Finding the Fourth Proportional to 116.02, 173.01 and 102.25

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Solution

The fourth proportional to 116.02, 173.01 and 102.25 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 173.01 = 102.25 : x
  2. Step 2: Convert to fraction form
    116.02/173.01 = 102.25/x
  3. Step 3: Cross multiply
    116.02x = 173.01 × 102.25
  4. Step 4: Simplify right side
    116.02x = 17,690.27
  5. Step 5: Solve for x
    x = 17,690.27/116.02
  6. Step 6: Final answer
    x = 152.48

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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.