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Finding the Fourth Proportional to 429.15, 591.21 and 353.98

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Solution

The fourth proportional to 429.15, 591.21 and 353.98 is: 487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.15 : 591.21 = 353.98 : x
  2. Step 2: Convert to fraction form
    429.15/591.21 = 353.98/x
  3. Step 3: Cross multiply
    429.15x = 591.21 × 353.98
  4. Step 4: Simplify right side
    429.15x = 209,273.56
  5. Step 5: Solve for x
    x = 209,273.56/429.15
  6. Step 6: Final answer
    x = 487.65

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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.