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Finding the Fourth Proportional to 374.34, 516.72 and 300.53

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Solution

The fourth proportional to 374.34, 516.72 and 300.53 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.34 : 516.72 = 300.53 : x
  2. Step 2: Convert to fraction form
    374.34/516.72 = 300.53/x
  3. Step 3: Cross multiply
    374.34x = 516.72 × 300.53
  4. Step 4: Simplify right side
    374.34x = 155,287.28
  5. Step 5: Solve for x
    x = 155,287.28/374.34
  6. Step 6: Final answer
    x = 414.83

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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.