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Finding the Fourth Proportional to 319.95, 476.75 and 299.45

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Solution

The fourth proportional to 319.95, 476.75 and 299.45 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.95 : 476.75 = 299.45 : x
  2. Step 2: Convert to fraction form
    319.95/476.75 = 299.45/x
  3. Step 3: Cross multiply
    319.95x = 476.75 × 299.45
  4. Step 4: Simplify right side
    319.95x = 142,764.73
  5. Step 5: Solve for x
    x = 142,764.73/319.95
  6. Step 6: Final answer
    x = 446.21

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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.