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Finding the Fourth Proportional to 365.58, 504.44 and 347.12

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Solution

The fourth proportional to 365.58, 504.44 and 347.12 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.58 : 504.44 = 347.12 : x
  2. Step 2: Convert to fraction form
    365.58/504.44 = 347.12/x
  3. Step 3: Cross multiply
    365.58x = 504.44 × 347.12
  4. Step 4: Simplify right side
    365.58x = 175,099.56
  5. Step 5: Solve for x
    x = 175,099.56/365.58
  6. Step 6: Final answer
    x = 478.96

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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.