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Finding the Fourth Proportional to 369.92, 507.48 and 359.80

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Solution

The fourth proportional to 369.92, 507.48 and 359.80 is: 493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.92 : 507.48 = 359.80 : x
  2. Step 2: Convert to fraction form
    369.92/507.48 = 359.80/x
  3. Step 3: Cross multiply
    369.92x = 507.48 × 359.80
  4. Step 4: Simplify right side
    369.92x = 182,591.30
  5. Step 5: Solve for x
    x = 182,591.30/369.92
  6. Step 6: Final answer
    x = 493.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.