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Finding the Fourth Proportional to 480.42, 663.05 and 303.53

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Solution

The fourth proportional to 480.42, 663.05 and 303.53 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.42 : 663.05 = 303.53 : x
  2. Step 2: Convert to fraction form
    480.42/663.05 = 303.53/x
  3. Step 3: Cross multiply
    480.42x = 663.05 × 303.53
  4. Step 4: Simplify right side
    480.42x = 201,253.01
  5. Step 5: Solve for x
    x = 201,253.01/480.42
  6. Step 6: Final answer
    x = 418.91

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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.