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Finding the Fourth Proportional to 318.76, 477.88 and 181.48

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Solution

The fourth proportional to 318.76, 477.88 and 181.48 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.76 : 477.88 = 181.48 : x
  2. Step 2: Convert to fraction form
    318.76/477.88 = 181.48/x
  3. Step 3: Cross multiply
    318.76x = 477.88 × 181.48
  4. Step 4: Simplify right side
    318.76x = 86,725.66
  5. Step 5: Solve for x
    x = 86,725.66/318.76
  6. Step 6: Final answer
    x = 272.07

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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.