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Finding the Fourth Proportional to 315.63, 435.60 and 199.31

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Solution

The fourth proportional to 315.63, 435.60 and 199.31 is: 275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.63 : 435.60 = 199.31 : x
  2. Step 2: Convert to fraction form
    315.63/435.60 = 199.31/x
  3. Step 3: Cross multiply
    315.63x = 435.60 × 199.31
  4. Step 4: Simplify right side
    315.63x = 86,818.44
  5. Step 5: Solve for x
    x = 86,818.44/315.63
  6. Step 6: Final answer
    x = 275.06

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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.