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Finding the Fourth Proportional to 315.78, 435.61 and 205.31

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Solution

The fourth proportional to 315.78, 435.61 and 205.31 is: 283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 435.61 = 205.31 : x
  2. Step 2: Convert to fraction form
    315.78/435.61 = 205.31/x
  3. Step 3: Cross multiply
    315.78x = 435.61 × 205.31
  4. Step 4: Simplify right side
    315.78x = 89,434.06
  5. Step 5: Solve for x
    x = 89,434.06/315.78
  6. Step 6: Final answer
    x = 283.22

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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.