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Finding the Fourth Proportional to 428.51, 590.92 and 286.49

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Solution

The fourth proportional to 428.51, 590.92 and 286.49 is: 395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.51 : 590.92 = 286.49 : x
  2. Step 2: Convert to fraction form
    428.51/590.92 = 286.49/x
  3. Step 3: Cross multiply
    428.51x = 590.92 × 286.49
  4. Step 4: Simplify right side
    428.51x = 169,293.43
  5. Step 5: Solve for x
    x = 169,293.43/428.51
  6. Step 6: Final answer
    x = 395.07

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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.