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Finding the Fourth Proportional to 372.83, 513.40 and 319.98

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Solution

The fourth proportional to 372.83, 513.40 and 319.98 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.83 : 513.40 = 319.98 : x
  2. Step 2: Convert to fraction form
    372.83/513.40 = 319.98/x
  3. Step 3: Cross multiply
    372.83x = 513.40 × 319.98
  4. Step 4: Simplify right side
    372.83x = 164,277.73
  5. Step 5: Solve for x
    x = 164,277.73/372.83
  6. Step 6: Final answer
    x = 440.62

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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.