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Finding the Fourth Proportional to 374.10, 516.42 and 256.65

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Solution

The fourth proportional to 374.10, 516.42 and 256.65 is: 354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.10 : 516.42 = 256.65 : x
  2. Step 2: Convert to fraction form
    374.10/516.42 = 256.65/x
  3. Step 3: Cross multiply
    374.10x = 516.42 × 256.65
  4. Step 4: Simplify right side
    374.10x = 132,539.19
  5. Step 5: Solve for x
    x = 132,539.19/374.10
  6. Step 6: Final answer
    x = 354.29

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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.