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Finding the Fourth Proportional to 476.95, 715.56 and 199.43

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Solution

The fourth proportional to 476.95, 715.56 and 199.43 is: 299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.95 : 715.56 = 199.43 : x
  2. Step 2: Convert to fraction form
    476.95/715.56 = 199.43/x
  3. Step 3: Cross multiply
    476.95x = 715.56 × 199.43
  4. Step 4: Simplify right side
    476.95x = 142,705.92
  5. Step 5: Solve for x
    x = 142,705.92/476.95
  6. Step 6: Final answer
    x = 299.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.