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Finding the Fourth Proportional to 374.01, 515.81 and 280.97

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Solution

The fourth proportional to 374.01, 515.81 and 280.97 is: 387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.01 : 515.81 = 280.97 : x
  2. Step 2: Convert to fraction form
    374.01/515.81 = 280.97/x
  3. Step 3: Cross multiply
    374.01x = 515.81 × 280.97
  4. Step 4: Simplify right side
    374.01x = 144,927.14
  5. Step 5: Solve for x
    x = 144,927.14/374.01
  6. Step 6: Final answer
    x = 387.50

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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.