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Finding the Fourth Proportional to 114.32, 172.09 and 99.44

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Solution

The fourth proportional to 114.32, 172.09 and 99.44 is: 149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.32 : 172.09 = 99.44 : x
  2. Step 2: Convert to fraction form
    114.32/172.09 = 99.44/x
  3. Step 3: Cross multiply
    114.32x = 172.09 × 99.44
  4. Step 4: Simplify right side
    114.32x = 17,112.63
  5. Step 5: Solve for x
    x = 17,112.63/114.32
  6. Step 6: Final answer
    x = 149.69

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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.