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Finding the Fourth Proportional to 143.06, 213.36 and 121.53

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Solution

The fourth proportional to 143.06, 213.36 and 121.53 is: 181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.06 : 213.36 = 121.53 : x
  2. Step 2: Convert to fraction form
    143.06/213.36 = 121.53/x
  3. Step 3: Cross multiply
    143.06x = 213.36 × 121.53
  4. Step 4: Simplify right side
    143.06x = 25,929.64
  5. Step 5: Solve for x
    x = 25,929.64/143.06
  6. Step 6: Final answer
    x = 181.26

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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.