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Finding the Fourth Proportional to 309.91, 464.86 and 181.57

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Solution

The fourth proportional to 309.91, 464.86 and 181.57 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.91 : 464.86 = 181.57 : x
  2. Step 2: Convert to fraction form
    309.91/464.86 = 181.57/x
  3. Step 3: Cross multiply
    309.91x = 464.86 × 181.57
  4. Step 4: Simplify right side
    309.91x = 84,404.63
  5. Step 5: Solve for x
    x = 84,404.63/309.91
  6. Step 6: Final answer
    x = 272.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.