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Finding the Fourth Proportional to 366.93, 549.49 and 306.33

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Solution

The fourth proportional to 366.93, 549.49 and 306.33 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.93 : 549.49 = 306.33 : x
  2. Step 2: Convert to fraction form
    366.93/549.49 = 306.33/x
  3. Step 3: Cross multiply
    366.93x = 549.49 × 306.33
  4. Step 4: Simplify right side
    366.93x = 168,325.88
  5. Step 5: Solve for x
    x = 168,325.88/366.93
  6. Step 6: Final answer
    x = 458.74

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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.