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Finding the Fourth Proportional to 312.94, 431.85 and 188.65

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Solution

The fourth proportional to 312.94, 431.85 and 188.65 is: 260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 431.85 = 188.65 : x
  2. Step 2: Convert to fraction form
    312.94/431.85 = 188.65/x
  3. Step 3: Cross multiply
    312.94x = 431.85 × 188.65
  4. Step 4: Simplify right side
    312.94x = 81,468.50
  5. Step 5: Solve for x
    x = 81,468.50/312.94
  6. Step 6: Final answer
    x = 260.33

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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.