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Finding the Fourth Proportional to 480.41, 663.01 and 305.75

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Solution

The fourth proportional to 480.41, 663.01 and 305.75 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.41 : 663.01 = 305.75 : x
  2. Step 2: Convert to fraction form
    480.41/663.01 = 305.75/x
  3. Step 3: Cross multiply
    480.41x = 663.01 × 305.75
  4. Step 4: Simplify right side
    480.41x = 202,715.31
  5. Step 5: Solve for x
    x = 202,715.31/480.41
  6. Step 6: Final answer
    x = 421.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.