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Finding the Fourth Proportional to 148.92, 203.92 and 148.08

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Solution

The fourth proportional to 148.92, 203.92 and 148.08 is: 202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 203.92 = 148.08 : x
  2. Step 2: Convert to fraction form
    148.92/203.92 = 148.08/x
  3. Step 3: Cross multiply
    148.92x = 203.92 × 148.08
  4. Step 4: Simplify right side
    148.92x = 30,196.47
  5. Step 5: Solve for x
    x = 30,196.47/148.92
  6. Step 6: Final answer
    x = 202.77

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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.