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Finding the Fourth Proportional to 148.53, 203.43 and 143.34

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Solution

The fourth proportional to 148.53, 203.43 and 143.34 is: 196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.53 : 203.43 = 143.34 : x
  2. Step 2: Convert to fraction form
    148.53/203.43 = 143.34/x
  3. Step 3: Cross multiply
    148.53x = 203.43 × 143.34
  4. Step 4: Simplify right side
    148.53x = 29,159.66
  5. Step 5: Solve for x
    x = 29,159.66/148.53
  6. Step 6: Final answer
    x = 196.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.