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Finding the Fourth Proportional to 312.65, 431.59 and 181.63

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Solution

The fourth proportional to 312.65, 431.59 and 181.63 is: 250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 431.59 = 181.63 : x
  2. Step 2: Convert to fraction form
    312.65/431.59 = 181.63/x
  3. Step 3: Cross multiply
    312.65x = 431.59 × 181.63
  4. Step 4: Simplify right side
    312.65x = 78,387.53
  5. Step 5: Solve for x
    x = 78,387.53/312.65
  6. Step 6: Final answer
    x = 250.72

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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.