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Finding the Fourth Proportional to 318.41, 477.21 and 172.13

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Solution

The fourth proportional to 318.41, 477.21 and 172.13 is: 257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.41 : 477.21 = 172.13 : x
  2. Step 2: Convert to fraction form
    318.41/477.21 = 172.13/x
  3. Step 3: Cross multiply
    318.41x = 477.21 × 172.13
  4. Step 4: Simplify right side
    318.41x = 82,139.77
  5. Step 5: Solve for x
    x = 82,139.77/318.41
  6. Step 6: Final answer
    x = 257.97

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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.