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Finding the Fourth Proportional to 366.10, 548.75 and 181.13

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Solution

The fourth proportional to 366.10, 548.75 and 181.13 is: 271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 548.75 = 181.13 : x
  2. Step 2: Convert to fraction form
    366.10/548.75 = 181.13/x
  3. Step 3: Cross multiply
    366.10x = 548.75 × 181.13
  4. Step 4: Simplify right side
    366.10x = 99,395.09
  5. Step 5: Solve for x
    x = 99,395.09/366.10
  6. Step 6: Final answer
    x = 271.50

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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.