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Finding the Fourth Proportional to 354.82, 488.28 and 339.16

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Solution

The fourth proportional to 354.82, 488.28 and 339.16 is: 466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.82 : 488.28 = 339.16 : x
  2. Step 2: Convert to fraction form
    354.82/488.28 = 339.16/x
  3. Step 3: Cross multiply
    354.82x = 488.28 × 339.16
  4. Step 4: Simplify right side
    354.82x = 165,605.04
  5. Step 5: Solve for x
    x = 165,605.04/354.82
  6. Step 6: Final answer
    x = 466.73

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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.