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Finding the Fourth Proportional to 319.53, 476.25 and 301.80

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Solution

The fourth proportional to 319.53, 476.25 and 301.80 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.53 : 476.25 = 301.80 : x
  2. Step 2: Convert to fraction form
    319.53/476.25 = 301.80/x
  3. Step 3: Cross multiply
    319.53x = 476.25 × 301.80
  4. Step 4: Simplify right side
    319.53x = 143,732.25
  5. Step 5: Solve for x
    x = 143,732.25/319.53
  6. Step 6: Final answer
    x = 449.82

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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.