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Finding the Fourth Proportional to 364.50, 543.26 and 343.98

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Solution

The fourth proportional to 364.50, 543.26 and 343.98 is: 512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 543.26 = 343.98 : x
  2. Step 2: Convert to fraction form
    364.50/543.26 = 343.98/x
  3. Step 3: Cross multiply
    364.50x = 543.26 × 343.98
  4. Step 4: Simplify right side
    364.50x = 186,870.57
  5. Step 5: Solve for x
    x = 186,870.57/364.50
  6. Step 6: Final answer
    x = 512.68

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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.