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Finding the Fourth Proportional to 319.10, 477.87 and 181.72

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Solution

The fourth proportional to 319.10, 477.87 and 181.72 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 477.87 = 181.72 : x
  2. Step 2: Convert to fraction form
    319.10/477.87 = 181.72/x
  3. Step 3: Cross multiply
    319.10x = 477.87 × 181.72
  4. Step 4: Simplify right side
    319.10x = 86,838.54
  5. Step 5: Solve for x
    x = 86,838.54/319.10
  6. Step 6: Final answer
    x = 272.14

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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.