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Finding the Fourth Proportional to 312.92, 431.94 and 188.69

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Solution

The fourth proportional to 312.92, 431.94 and 188.69 is: 260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.92 : 431.94 = 188.69 : x
  2. Step 2: Convert to fraction form
    312.92/431.94 = 188.69/x
  3. Step 3: Cross multiply
    312.92x = 431.94 × 188.69
  4. Step 4: Simplify right side
    312.92x = 81,500.60
  5. Step 5: Solve for x
    x = 81,500.60/312.92
  6. Step 6: Final answer
    x = 260.46

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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.