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Finding the Fourth Proportional to 319.88, 476.56 and 301.25

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Solution

The fourth proportional to 319.88, 476.56 and 301.25 is: 448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 476.56 = 301.25 : x
  2. Step 2: Convert to fraction form
    319.88/476.56 = 301.25/x
  3. Step 3: Cross multiply
    319.88x = 476.56 × 301.25
  4. Step 4: Simplify right side
    319.88x = 143,563.70
  5. Step 5: Solve for x
    x = 143,563.70/319.88
  6. Step 6: Final answer
    x = 448.80

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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.