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Finding the Fourth Proportional to 366.11, 548.55 and 257.70

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Solution

The fourth proportional to 366.11, 548.55 and 257.70 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.11 : 548.55 = 257.70 : x
  2. Step 2: Convert to fraction form
    366.11/548.55 = 257.70/x
  3. Step 3: Cross multiply
    366.11x = 548.55 × 257.70
  4. Step 4: Simplify right side
    366.11x = 141,361.34
  5. Step 5: Solve for x
    x = 141,361.34/366.11
  6. Step 6: Final answer
    x = 386.12

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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.