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Finding the Fourth Proportional to 428.07, 590.52 and 280.71

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Solution

The fourth proportional to 428.07, 590.52 and 280.71 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.07 : 590.52 = 280.71 : x
  2. Step 2: Convert to fraction form
    428.07/590.52 = 280.71/x
  3. Step 3: Cross multiply
    428.07x = 590.52 × 280.71
  4. Step 4: Simplify right side
    428.07x = 165,764.87
  5. Step 5: Solve for x
    x = 165,764.87/428.07
  6. Step 6: Final answer
    x = 387.24

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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.