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Finding the Fourth Proportional to 366.37, 549.46 and 257.65

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Solution

The fourth proportional to 366.37, 549.46 and 257.65 is: 386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.37 : 549.46 = 257.65 : x
  2. Step 2: Convert to fraction form
    366.37/549.46 = 257.65/x
  3. Step 3: Cross multiply
    366.37x = 549.46 × 257.65
  4. Step 4: Simplify right side
    366.37x = 141,568.37
  5. Step 5: Solve for x
    x = 141,568.37/366.37
  6. Step 6: Final answer
    x = 386.41

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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.