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Finding the Fourth Proportional to 374.81, 516.99 and 301.30

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Solution

The fourth proportional to 374.81, 516.99 and 301.30 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.81 : 516.99 = 301.30 : x
  2. Step 2: Convert to fraction form
    374.81/516.99 = 301.30/x
  3. Step 3: Cross multiply
    374.81x = 516.99 × 301.30
  4. Step 4: Simplify right side
    374.81x = 155,769.09
  5. Step 5: Solve for x
    x = 155,769.09/374.81
  6. Step 6: Final answer
    x = 415.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.