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Finding the Fourth Proportional to 225.21, 310.79 and 126.98

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Solution

The fourth proportional to 225.21, 310.79 and 126.98 is: 175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.21 : 310.79 = 126.98 : x
  2. Step 2: Convert to fraction form
    225.21/310.79 = 126.98/x
  3. Step 3: Cross multiply
    225.21x = 310.79 × 126.98
  4. Step 4: Simplify right side
    225.21x = 39,461.93
  5. Step 5: Solve for x
    x = 39,461.93/225.21
  6. Step 6: Final answer
    x = 175.22

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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.