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Finding the Fourth Proportional to 374.51, 516.76 and 225.09

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Solution

The fourth proportional to 374.51, 516.76 and 225.09 is: 310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.51 : 516.76 = 225.09 : x
  2. Step 2: Convert to fraction form
    374.51/516.76 = 225.09/x
  3. Step 3: Cross multiply
    374.51x = 516.76 × 225.09
  4. Step 4: Simplify right side
    374.51x = 116,316.95
  5. Step 5: Solve for x
    x = 116,316.95/374.51
  6. Step 6: Final answer
    x = 310.58

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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.