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Finding the Fourth Proportional to 368.46, 549.14 and 367.92

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Solution

The fourth proportional to 368.46, 549.14 and 367.92 is: 548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.46 : 549.14 = 367.92 : x
  2. Step 2: Convert to fraction form
    368.46/549.14 = 367.92/x
  3. Step 3: Cross multiply
    368.46x = 549.14 × 367.92
  4. Step 4: Simplify right side
    368.46x = 202,037.75
  5. Step 5: Solve for x
    x = 202,037.75/368.46
  6. Step 6: Final answer
    x = 548.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.