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Finding the Fourth Proportional to 411.03, 566.87 and 280.22

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Solution

The fourth proportional to 411.03, 566.87 and 280.22 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.03 : 566.87 = 280.22 : x
  2. Step 2: Convert to fraction form
    411.03/566.87 = 280.22/x
  3. Step 3: Cross multiply
    411.03x = 566.87 × 280.22
  4. Step 4: Simplify right side
    411.03x = 158,844.08
  5. Step 5: Solve for x
    x = 158,844.08/411.03
  6. Step 6: Final answer
    x = 386.45

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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.