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Finding the Fourth Proportional to 364.16, 548.36 and 268.64

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Solution

The fourth proportional to 364.16, 548.36 and 268.64 is: 404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.16 : 548.36 = 268.64 : x
  2. Step 2: Convert to fraction form
    364.16/548.36 = 268.64/x
  3. Step 3: Cross multiply
    364.16x = 548.36 × 268.64
  4. Step 4: Simplify right side
    364.16x = 147,311.43
  5. Step 5: Solve for x
    x = 147,311.43/364.16
  6. Step 6: Final answer
    x = 404.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.