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Finding the Fourth Proportional to 428.04, 590.08 and 280.62

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Solution

The fourth proportional to 428.04, 590.08 and 280.62 is: 386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.04 : 590.08 = 280.62 : x
  2. Step 2: Convert to fraction form
    428.04/590.08 = 280.62/x
  3. Step 3: Cross multiply
    428.04x = 590.08 × 280.62
  4. Step 4: Simplify right side
    428.04x = 165,588.25
  5. Step 5: Solve for x
    x = 165,588.25/428.04
  6. Step 6: Final answer
    x = 386.85

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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.