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Finding the Fourth Proportional to 228.72, 342.99 and 98.73

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Solution

The fourth proportional to 228.72, 342.99 and 98.73 is: 148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.72 : 342.99 = 98.73 : x
  2. Step 2: Convert to fraction form
    228.72/342.99 = 98.73/x
  3. Step 3: Cross multiply
    228.72x = 342.99 × 98.73
  4. Step 4: Simplify right side
    228.72x = 33,863.40
  5. Step 5: Solve for x
    x = 33,863.40/228.72
  6. Step 6: Final answer
    x = 148.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.