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Finding the Fourth Proportional to 117.36, 161.46 and 114.30

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Solution

The fourth proportional to 117.36, 161.46 and 114.30 is: 157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.36 : 161.46 = 114.30 : x
  2. Step 2: Convert to fraction form
    117.36/161.46 = 114.30/x
  3. Step 3: Cross multiply
    117.36x = 161.46 × 114.30
  4. Step 4: Simplify right side
    117.36x = 18,454.88
  5. Step 5: Solve for x
    x = 18,454.88/117.36
  6. Step 6: Final answer
    x = 157.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.