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Finding the Fourth Proportional to 323.62, 481.93 and 302.86

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Solution

The fourth proportional to 323.62, 481.93 and 302.86 is: 451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.62 : 481.93 = 302.86 : x
  2. Step 2: Convert to fraction form
    323.62/481.93 = 302.86/x
  3. Step 3: Cross multiply
    323.62x = 481.93 × 302.86
  4. Step 4: Simplify right side
    323.62x = 145,957.32
  5. Step 5: Solve for x
    x = 145,957.32/323.62
  6. Step 6: Final answer
    x = 451.01

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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.