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Finding the Fourth Proportional to 148.33, 203.54 and 142.87

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Solution

The fourth proportional to 148.33, 203.54 and 142.87 is: 196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.33 : 203.54 = 142.87 : x
  2. Step 2: Convert to fraction form
    148.33/203.54 = 142.87/x
  3. Step 3: Cross multiply
    148.33x = 203.54 × 142.87
  4. Step 4: Simplify right side
    148.33x = 29,079.76
  5. Step 5: Solve for x
    x = 29,079.76/148.33
  6. Step 6: Final answer
    x = 196.05

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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.