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Finding the Fourth Proportional to 397.14, 547.26 and 337.94

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Solution

The fourth proportional to 397.14, 547.26 and 337.94 is: 465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 547.26 = 337.94 : x
  2. Step 2: Convert to fraction form
    397.14/547.26 = 337.94/x
  3. Step 3: Cross multiply
    397.14x = 547.26 × 337.94
  4. Step 4: Simplify right side
    397.14x = 184,941.04
  5. Step 5: Solve for x
    x = 184,941.04/397.14
  6. Step 6: Final answer
    x = 465.68

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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.