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Finding the Fourth Proportional to 481.04, 663.36 and 315.20

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Solution

The fourth proportional to 481.04, 663.36 and 315.20 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.04 : 663.36 = 315.20 : x
  2. Step 2: Convert to fraction form
    481.04/663.36 = 315.20/x
  3. Step 3: Cross multiply
    481.04x = 663.36 × 315.20
  4. Step 4: Simplify right side
    481.04x = 209,091.07
  5. Step 5: Solve for x
    x = 209,091.07/481.04
  6. Step 6: Final answer
    x = 434.66

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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.