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Finding the Fourth Proportional to 273.10, 376.88 and 148.76

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Solution

The fourth proportional to 273.10, 376.88 and 148.76 is: 205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.10 : 376.88 = 148.76 : x
  2. Step 2: Convert to fraction form
    273.10/376.88 = 148.76/x
  3. Step 3: Cross multiply
    273.10x = 376.88 × 148.76
  4. Step 4: Simplify right side
    273.10x = 56,063.73
  5. Step 5: Solve for x
    x = 56,063.73/273.10
  6. Step 6: Final answer
    x = 205.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.