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Finding the Fourth Proportional to 121.24, 182.62 and 116.18

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Solution

The fourth proportional to 121.24, 182.62 and 116.18 is: 175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.24 : 182.62 = 116.18 : x
  2. Step 2: Convert to fraction form
    121.24/182.62 = 116.18/x
  3. Step 3: Cross multiply
    121.24x = 182.62 × 116.18
  4. Step 4: Simplify right side
    121.24x = 21,216.79
  5. Step 5: Solve for x
    x = 21,216.79/121.24
  6. Step 6: Final answer
    x = 175.00

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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.