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Finding the Fourth Proportional to 429.20, 591.84 and 298.28

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Solution

The fourth proportional to 429.20, 591.84 and 298.28 is: 411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 591.84 = 298.28 : x
  2. Step 2: Convert to fraction form
    429.20/591.84 = 298.28/x
  3. Step 3: Cross multiply
    429.20x = 591.84 × 298.28
  4. Step 4: Simplify right side
    429.20x = 176,534.04
  5. Step 5: Solve for x
    x = 176,534.04/429.20
  6. Step 6: Final answer
    x = 411.31

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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.