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Finding the Fourth Proportional to 411.04, 567.02 and 280.18

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Solution

The fourth proportional to 411.04, 567.02 and 280.18 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.04 : 567.02 = 280.18 : x
  2. Step 2: Convert to fraction form
    411.04/567.02 = 280.18/x
  3. Step 3: Cross multiply
    411.04x = 567.02 × 280.18
  4. Step 4: Simplify right side
    411.04x = 158,867.66
  5. Step 5: Solve for x
    x = 158,867.66/411.04
  6. Step 6: Final answer
    x = 386.50

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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.