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Finding the Fourth Proportional to 305.45, 421.50 and 167.45

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Solution

The fourth proportional to 305.45, 421.50 and 167.45 is: 231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 421.50 = 167.45 : x
  2. Step 2: Convert to fraction form
    305.45/421.50 = 167.45/x
  3. Step 3: Cross multiply
    305.45x = 421.50 × 167.45
  4. Step 4: Simplify right side
    305.45x = 70,578.07
  5. Step 5: Solve for x
    x = 70,578.07/305.45
  6. Step 6: Final answer
    x = 231.07

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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.