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Finding the Fourth Proportional to 315.93, 434.19 and 280.77

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Solution

The fourth proportional to 315.93, 434.19 and 280.77 is: 385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 434.19 = 280.77 : x
  2. Step 2: Convert to fraction form
    315.93/434.19 = 280.77/x
  3. Step 3: Cross multiply
    315.93x = 434.19 × 280.77
  4. Step 4: Simplify right side
    315.93x = 121,906.95
  5. Step 5: Solve for x
    x = 121,906.95/315.93
  6. Step 6: Final answer
    x = 385.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.