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Finding the Fourth Proportional to 369.80, 507.44 and 336.92

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Solution

The fourth proportional to 369.80, 507.44 and 336.92 is: 462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.80 : 507.44 = 336.92 : x
  2. Step 2: Convert to fraction form
    369.80/507.44 = 336.92/x
  3. Step 3: Cross multiply
    369.80x = 507.44 × 336.92
  4. Step 4: Simplify right side
    369.80x = 170,966.68
  5. Step 5: Solve for x
    x = 170,966.68/369.80
  6. Step 6: Final answer
    x = 462.32

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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.