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Finding the Fourth Proportional to 374.49, 516.56 and 258.03

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Solution

The fourth proportional to 374.49, 516.56 and 258.03 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 516.56 = 258.03 : x
  2. Step 2: Convert to fraction form
    374.49/516.56 = 258.03/x
  3. Step 3: Cross multiply
    374.49x = 516.56 × 258.03
  4. Step 4: Simplify right side
    374.49x = 133,286.69
  5. Step 5: Solve for x
    x = 133,286.69/374.49
  6. Step 6: Final answer
    x = 355.92

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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.