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Finding the Fourth Proportional to 114.44, 172.39 and 113.02

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Solution

The fourth proportional to 114.44, 172.39 and 113.02 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.44 : 172.39 = 113.02 : x
  2. Step 2: Convert to fraction form
    114.44/172.39 = 113.02/x
  3. Step 3: Cross multiply
    114.44x = 172.39 × 113.02
  4. Step 4: Simplify right side
    114.44x = 19,482.95
  5. Step 5: Solve for x
    x = 19,482.95/114.44
  6. Step 6: Final answer
    x = 170.25

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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.