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Finding the Fourth Proportional to 373.07, 513.64 and 323.93

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Solution

The fourth proportional to 373.07, 513.64 and 323.93 is: 445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.07 : 513.64 = 323.93 : x
  2. Step 2: Convert to fraction form
    373.07/513.64 = 323.93/x
  3. Step 3: Cross multiply
    373.07x = 513.64 × 323.93
  4. Step 4: Simplify right side
    373.07x = 166,383.41
  5. Step 5: Solve for x
    x = 166,383.41/373.07
  6. Step 6: Final answer
    x = 445.98

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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.