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Finding the Fourth Proportional to 428.20, 590.52 and 280.91

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Solution

The fourth proportional to 428.20, 590.52 and 280.91 is: 387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.20 : 590.52 = 280.91 : x
  2. Step 2: Convert to fraction form
    428.20/590.52 = 280.91/x
  3. Step 3: Cross multiply
    428.20x = 590.52 × 280.91
  4. Step 4: Simplify right side
    428.20x = 165,885.50
  5. Step 5: Solve for x
    x = 165,885.50/428.20
  6. Step 6: Final answer
    x = 387.40

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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.