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Finding the Fourth Proportional to 389.50, 536.98 and 336.98

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Solution

The fourth proportional to 389.50, 536.98 and 336.98 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.50 : 536.98 = 336.98 : x
  2. Step 2: Convert to fraction form
    389.50/536.98 = 336.98/x
  3. Step 3: Cross multiply
    389.50x = 536.98 × 336.98
  4. Step 4: Simplify right side
    389.50x = 180,951.52
  5. Step 5: Solve for x
    x = 180,951.52/389.50
  6. Step 6: Final answer
    x = 464.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.