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Finding the Fourth Proportional to 397.16, 546.82 and 338.02

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Solution

The fourth proportional to 397.16, 546.82 and 338.02 is: 465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.16 : 546.82 = 338.02 : x
  2. Step 2: Convert to fraction form
    397.16/546.82 = 338.02/x
  3. Step 3: Cross multiply
    397.16x = 546.82 × 338.02
  4. Step 4: Simplify right side
    397.16x = 184,836.10
  5. Step 5: Solve for x
    x = 184,836.10/397.16
  6. Step 6: Final answer
    x = 465.39

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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.