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Finding the Fourth Proportional to 312.63, 431.42 and 181.64

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Solution

The fourth proportional to 312.63, 431.42 and 181.64 is: 250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.63 : 431.42 = 181.64 : x
  2. Step 2: Convert to fraction form
    312.63/431.42 = 181.64/x
  3. Step 3: Cross multiply
    312.63x = 431.42 × 181.64
  4. Step 4: Simplify right side
    312.63x = 78,363.13
  5. Step 5: Solve for x
    x = 78,363.13/312.63
  6. Step 6: Final answer
    x = 250.66

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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.