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Finding the Fourth Proportional to 397.08, 547.68 and 266.28

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Solution

The fourth proportional to 397.08, 547.68 and 266.28 is: 367.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.08 : 547.68 = 266.28 : x
  2. Step 2: Convert to fraction form
    397.08/547.68 = 266.28/x
  3. Step 3: Cross multiply
    397.08x = 547.68 × 266.28
  4. Step 4: Simplify right side
    397.08x = 145,836.23
  5. Step 5: Solve for x
    x = 145,836.23/397.08
  6. Step 6: Final answer
    x = 367.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.