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Finding the Fourth Proportional to 312.35, 465.73 and 280.89

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Solution

The fourth proportional to 312.35, 465.73 and 280.89 is: 418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 465.73 = 280.89 : x
  2. Step 2: Convert to fraction form
    312.35/465.73 = 280.89/x
  3. Step 3: Cross multiply
    312.35x = 465.73 × 280.89
  4. Step 4: Simplify right side
    312.35x = 130,818.20
  5. Step 5: Solve for x
    x = 130,818.20/312.35
  6. Step 6: Final answer
    x = 418.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.