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Finding the Fourth Proportional to 305.90, 422.16 and 181.64

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Solution

The fourth proportional to 305.90, 422.16 and 181.64 is: 250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.90 : 422.16 = 181.64 : x
  2. Step 2: Convert to fraction form
    305.90/422.16 = 181.64/x
  3. Step 3: Cross multiply
    305.90x = 422.16 × 181.64
  4. Step 4: Simplify right side
    305.90x = 76,681.14
  5. Step 5: Solve for x
    x = 76,681.14/305.90
  6. Step 6: Final answer
    x = 250.67

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Why These Related Problems?

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