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Finding the Fourth Proportional to 397.16, 547.89 and 266.21

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Solution

The fourth proportional to 397.16, 547.89 and 266.21 is: 367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.16 : 547.89 = 266.21 : x
  2. Step 2: Convert to fraction form
    397.16/547.89 = 266.21/x
  3. Step 3: Cross multiply
    397.16x = 547.89 × 266.21
  4. Step 4: Simplify right side
    397.16x = 145,853.80
  5. Step 5: Solve for x
    x = 145,853.80/397.16
  6. Step 6: Final answer
    x = 367.24

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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.