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Finding the Fourth Proportional to 319.26, 475.50 and 299.28

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Solution

The fourth proportional to 319.26, 475.50 and 299.28 is: 445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.26 : 475.50 = 299.28 : x
  2. Step 2: Convert to fraction form
    319.26/475.50 = 299.28/x
  3. Step 3: Cross multiply
    319.26x = 475.50 × 299.28
  4. Step 4: Simplify right side
    319.26x = 142,307.64
  5. Step 5: Solve for x
    x = 142,307.64/319.26
  6. Step 6: Final answer
    x = 445.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.