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Finding the Fourth Proportional to 397.82, 547.66 and 348.62

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Solution

The fourth proportional to 397.82, 547.66 and 348.62 is: 479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.82 : 547.66 = 348.62 : x
  2. Step 2: Convert to fraction form
    397.82/547.66 = 348.62/x
  3. Step 3: Cross multiply
    397.82x = 547.66 × 348.62
  4. Step 4: Simplify right side
    397.82x = 190,921.62
  5. Step 5: Solve for x
    x = 190,921.62/397.82
  6. Step 6: Final answer
    x = 479.92

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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.