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Finding the Fourth Proportional to 429.26, 591.52 and 311.03

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Solution

The fourth proportional to 429.26, 591.52 and 311.03 is: 428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 591.52 = 311.03 : x
  2. Step 2: Convert to fraction form
    429.26/591.52 = 311.03/x
  3. Step 3: Cross multiply
    429.26x = 591.52 × 311.03
  4. Step 4: Simplify right side
    429.26x = 183,980.47
  5. Step 5: Solve for x
    x = 183,980.47/429.26
  6. Step 6: Final answer
    x = 428.60

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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.