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Finding the Fourth Proportional to 405.26, 605.02 and 343.76

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Solution

The fourth proportional to 405.26, 605.02 and 343.76 is: 513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.26 : 605.02 = 343.76 : x
  2. Step 2: Convert to fraction form
    405.26/605.02 = 343.76/x
  3. Step 3: Cross multiply
    405.26x = 605.02 × 343.76
  4. Step 4: Simplify right side
    405.26x = 207,981.68
  5. Step 5: Solve for x
    x = 207,981.68/405.26
  6. Step 6: Final answer
    x = 513.21

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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.