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Finding the Fourth Proportional to 148.47, 221.09 and 143.28

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Solution

The fourth proportional to 148.47, 221.09 and 143.28 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.47 : 221.09 = 143.28 : x
  2. Step 2: Convert to fraction form
    148.47/221.09 = 143.28/x
  3. Step 3: Cross multiply
    148.47x = 221.09 × 143.28
  4. Step 4: Simplify right side
    148.47x = 31,677.06
  5. Step 5: Solve for x
    x = 31,677.06/148.47
  6. Step 6: Final answer
    x = 213.36

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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.