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Finding the Fourth Proportional to 318.96, 477.92 and 203.20

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Solution

The fourth proportional to 318.96, 477.92 and 203.20 is: 304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.96 : 477.92 = 203.20 : x
  2. Step 2: Convert to fraction form
    318.96/477.92 = 203.20/x
  3. Step 3: Cross multiply
    318.96x = 477.92 × 203.20
  4. Step 4: Simplify right side
    318.96x = 97,113.34
  5. Step 5: Solve for x
    x = 97,113.34/318.96
  6. Step 6: Final answer
    x = 304.47

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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.