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Finding the Fourth Proportional to 225.98, 339.47 and 161.18

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Solution

The fourth proportional to 225.98, 339.47 and 161.18 is: 242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.98 : 339.47 = 161.18 : x
  2. Step 2: Convert to fraction form
    225.98/339.47 = 161.18/x
  3. Step 3: Cross multiply
    225.98x = 339.47 × 161.18
  4. Step 4: Simplify right side
    225.98x = 54,715.77
  5. Step 5: Solve for x
    x = 54,715.77/225.98
  6. Step 6: Final answer
    x = 242.13

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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.