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Finding the Fourth Proportional to 427.84, 590.51 and 280.42

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Solution

The fourth proportional to 427.84, 590.51 and 280.42 is: 387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 590.51 = 280.42 : x
  2. Step 2: Convert to fraction form
    427.84/590.51 = 280.42/x
  3. Step 3: Cross multiply
    427.84x = 590.51 × 280.42
  4. Step 4: Simplify right side
    427.84x = 165,590.81
  5. Step 5: Solve for x
    x = 165,590.81/427.84
  6. Step 6: Final answer
    x = 387.04

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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.