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Finding the Fourth Proportional to 372.84, 513.38 and 319.98

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Solution

The fourth proportional to 372.84, 513.38 and 319.98 is: 440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 513.38 = 319.98 : x
  2. Step 2: Convert to fraction form
    372.84/513.38 = 319.98/x
  3. Step 3: Cross multiply
    372.84x = 513.38 × 319.98
  4. Step 4: Simplify right side
    372.84x = 164,271.33
  5. Step 5: Solve for x
    x = 164,271.33/372.84
  6. Step 6: Final answer
    x = 440.59

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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.