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Finding the Fourth Proportional to 253.47, 380.47 and 181.65

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Solution

The fourth proportional to 253.47, 380.47 and 181.65 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.47 : 380.47 = 181.65 : x
  2. Step 2: Convert to fraction form
    253.47/380.47 = 181.65/x
  3. Step 3: Cross multiply
    253.47x = 380.47 × 181.65
  4. Step 4: Simplify right side
    253.47x = 69,112.38
  5. Step 5: Solve for x
    x = 69,112.38/253.47
  6. Step 6: Final answer
    x = 272.66

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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.