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Finding the Fourth Proportional to 315.97, 435.06 and 280.93

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Solution

The fourth proportional to 315.97, 435.06 and 280.93 is: 386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.97 : 435.06 = 280.93 : x
  2. Step 2: Convert to fraction form
    315.97/435.06 = 280.93/x
  3. Step 3: Cross multiply
    315.97x = 435.06 × 280.93
  4. Step 4: Simplify right side
    315.97x = 122,221.41
  5. Step 5: Solve for x
    x = 122,221.41/315.97
  6. Step 6: Final answer
    x = 386.81

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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.