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Finding the Fourth Proportional to 344.20, 513.56 and 302.62

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Solution

The fourth proportional to 344.20, 513.56 and 302.62 is: 451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.20 : 513.56 = 302.62 : x
  2. Step 2: Convert to fraction form
    344.20/513.56 = 302.62/x
  3. Step 3: Cross multiply
    344.20x = 513.56 × 302.62
  4. Step 4: Simplify right side
    344.20x = 155,413.53
  5. Step 5: Solve for x
    x = 155,413.53/344.20
  6. Step 6: Final answer
    x = 451.52

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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.