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Finding the Fourth Proportional to 148.33, 221.91 and 143.47

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Solution

The fourth proportional to 148.33, 221.91 and 143.47 is: 214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.33 : 221.91 = 143.47 : x
  2. Step 2: Convert to fraction form
    148.33/221.91 = 143.47/x
  3. Step 3: Cross multiply
    148.33x = 221.91 × 143.47
  4. Step 4: Simplify right side
    148.33x = 31,837.43
  5. Step 5: Solve for x
    x = 31,837.43/148.33
  6. Step 6: Final answer
    x = 214.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.