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Finding the Fourth Proportional to 148.47, 203.74 and 146.24

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Solution

The fourth proportional to 148.47, 203.74 and 146.24 is: 200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.47 : 203.74 = 146.24 : x
  2. Step 2: Convert to fraction form
    148.47/203.74 = 146.24/x
  3. Step 3: Cross multiply
    148.47x = 203.74 × 146.24
  4. Step 4: Simplify right side
    148.47x = 29,794.94
  5. Step 5: Solve for x
    x = 29,794.94/148.47
  6. Step 6: Final answer
    x = 200.68

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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.