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Finding the Fourth Proportional to 429.26, 591.89 and 311.00

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Solution

The fourth proportional to 429.26, 591.89 and 311.00 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 591.89 = 311.00 : x
  2. Step 2: Convert to fraction form
    429.26/591.89 = 311.00/x
  3. Step 3: Cross multiply
    429.26x = 591.89 × 311.00
  4. Step 4: Simplify right side
    429.26x = 184,073.28
  5. Step 5: Solve for x
    x = 184,073.28/429.26
  6. Step 6: Final answer
    x = 428.82

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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.