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Finding the Fourth Proportional to 364.24, 505.04 and 344.80

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Solution

The fourth proportional to 364.24, 505.04 and 344.80 is: 478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.24 : 505.04 = 344.80 : x
  2. Step 2: Convert to fraction form
    364.24/505.04 = 344.80/x
  3. Step 3: Cross multiply
    364.24x = 505.04 × 344.80
  4. Step 4: Simplify right side
    364.24x = 174,137.79
  5. Step 5: Solve for x
    x = 174,137.79/364.24
  6. Step 6: Final answer
    x = 478.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.