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Finding the Fourth Proportional to 374.05, 515.86 and 269.09

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Solution

The fourth proportional to 374.05, 515.86 and 269.09 is: 371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.05 : 515.86 = 269.09 : x
  2. Step 2: Convert to fraction form
    374.05/515.86 = 269.09/x
  3. Step 3: Cross multiply
    374.05x = 515.86 × 269.09
  4. Step 4: Simplify right side
    374.05x = 138,812.77
  5. Step 5: Solve for x
    x = 138,812.77/374.05
  6. Step 6: Final answer
    x = 371.11

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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.