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Finding the Fourth Proportional to 374.96, 516.88 and 258.32

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Solution

The fourth proportional to 374.96, 516.88 and 258.32 is: 356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.96 : 516.88 = 258.32 : x
  2. Step 2: Convert to fraction form
    374.96/516.88 = 258.32/x
  3. Step 3: Cross multiply
    374.96x = 516.88 × 258.32
  4. Step 4: Simplify right side
    374.96x = 133,520.44
  5. Step 5: Solve for x
    x = 133,520.44/374.96
  6. Step 6: Final answer
    x = 356.09

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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.