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Finding the Fourth Proportional to 427.55, 590.45 and 280.28

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Solution

The fourth proportional to 427.55, 590.45 and 280.28 is: 387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.55 : 590.45 = 280.28 : x
  2. Step 2: Convert to fraction form
    427.55/590.45 = 280.28/x
  3. Step 3: Cross multiply
    427.55x = 590.45 × 280.28
  4. Step 4: Simplify right side
    427.55x = 165,486.97
  5. Step 5: Solve for x
    x = 165,486.97/427.55
  6. Step 6: Final answer
    x = 387.06

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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.