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Finding the Fourth Proportional to 428.31, 590.84 and 286.76

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Solution

The fourth proportional to 428.31, 590.84 and 286.76 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.31 : 590.84 = 286.76 : x
  2. Step 2: Convert to fraction form
    428.31/590.84 = 286.76/x
  3. Step 3: Cross multiply
    428.31x = 590.84 × 286.76
  4. Step 4: Simplify right side
    428.31x = 169,429.28
  5. Step 5: Solve for x
    x = 169,429.28/428.31
  6. Step 6: Final answer
    x = 395.58

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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.