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Finding the Fourth Proportional to 371.74, 556.58 and 280.16

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Solution

The fourth proportional to 371.74, 556.58 and 280.16 is: 419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.74 : 556.58 = 280.16 : x
  2. Step 2: Convert to fraction form
    371.74/556.58 = 280.16/x
  3. Step 3: Cross multiply
    371.74x = 556.58 × 280.16
  4. Step 4: Simplify right side
    371.74x = 155,930.05
  5. Step 5: Solve for x
    x = 155,930.05/371.74
  6. Step 6: Final answer
    x = 419.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.