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Finding the Fourth Proportional to 253.70, 350.09 and 148.78

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Solution

The fourth proportional to 253.70, 350.09 and 148.78 is: 205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.70 : 350.09 = 148.78 : x
  2. Step 2: Convert to fraction form
    253.70/350.09 = 148.78/x
  3. Step 3: Cross multiply
    253.70x = 350.09 × 148.78
  4. Step 4: Simplify right side
    253.70x = 52,083.90
  5. Step 5: Solve for x
    x = 52,083.90/253.70
  6. Step 6: Final answer
    x = 205.30

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