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Finding the Fourth Proportional to 429.20, 591.96 and 289.28

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Solution

The fourth proportional to 429.20, 591.96 and 289.28 is: 398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.20 : 591.96 = 289.28 : x
  2. Step 2: Convert to fraction form
    429.20/591.96 = 289.28/x
  3. Step 3: Cross multiply
    429.20x = 591.96 × 289.28
  4. Step 4: Simplify right side
    429.20x = 171,242.19
  5. Step 5: Solve for x
    x = 171,242.19/429.20
  6. Step 6: Final answer
    x = 398.98

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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.