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Finding the Fourth Proportional to 313.32, 432.21 and 195.27

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Solution

The fourth proportional to 313.32, 432.21 and 195.27 is: 269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.32 : 432.21 = 195.27 : x
  2. Step 2: Convert to fraction form
    313.32/432.21 = 195.27/x
  3. Step 3: Cross multiply
    313.32x = 432.21 × 195.27
  4. Step 4: Simplify right side
    313.32x = 84,397.65
  5. Step 5: Solve for x
    x = 84,397.65/313.32
  6. Step 6: Final answer
    x = 269.37

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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.