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Finding the Fourth Proportional to 312.19, 430.85 and 195.75

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Solution

The fourth proportional to 312.19, 430.85 and 195.75 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.19 : 430.85 = 195.75 : x
  2. Step 2: Convert to fraction form
    312.19/430.85 = 195.75/x
  3. Step 3: Cross multiply
    312.19x = 430.85 × 195.75
  4. Step 4: Simplify right side
    312.19x = 84,339.38
  5. Step 5: Solve for x
    x = 84,339.38/312.19
  6. Step 6: Final answer
    x = 270.16

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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.