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Finding the Fourth Proportional to 318.56, 477.67 and 172.49

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Solution

The fourth proportional to 318.56, 477.67 and 172.49 is: 258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.56 : 477.67 = 172.49 : x
  2. Step 2: Convert to fraction form
    318.56/477.67 = 172.49/x
  3. Step 3: Cross multiply
    318.56x = 477.67 × 172.49
  4. Step 4: Simplify right side
    318.56x = 82,393.30
  5. Step 5: Solve for x
    x = 82,393.30/318.56
  6. Step 6: Final answer
    x = 258.64

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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.