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Finding the Fourth Proportional to 207.95, 313.16 and 181.22

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Solution

The fourth proportional to 207.95, 313.16 and 181.22 is: 272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.95 : 313.16 = 181.22 : x
  2. Step 2: Convert to fraction form
    207.95/313.16 = 181.22/x
  3. Step 3: Cross multiply
    207.95x = 313.16 × 181.22
  4. Step 4: Simplify right side
    207.95x = 56,748.38
  5. Step 5: Solve for x
    x = 56,748.38/207.95
  6. Step 6: Final answer
    x = 272.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.