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Finding the Fourth Proportional to 373.81, 516.33 and 300.01

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Solution

The fourth proportional to 373.81, 516.33 and 300.01 is: 414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.81 : 516.33 = 300.01 : x
  2. Step 2: Convert to fraction form
    373.81/516.33 = 300.01/x
  3. Step 3: Cross multiply
    373.81x = 516.33 × 300.01
  4. Step 4: Simplify right side
    373.81x = 154,904.16
  5. Step 5: Solve for x
    x = 154,904.16/373.81
  6. Step 6: Final answer
    x = 414.39

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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.