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Finding the Fourth Proportional to 354.34, 484.89 and 346.78

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Solution

The fourth proportional to 354.34, 484.89 and 346.78 is: 474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.34 : 484.89 = 346.78 : x
  2. Step 2: Convert to fraction form
    354.34/484.89 = 346.78/x
  3. Step 3: Cross multiply
    354.34x = 484.89 × 346.78
  4. Step 4: Simplify right side
    354.34x = 168,150.15
  5. Step 5: Solve for x
    x = 168,150.15/354.34
  6. Step 6: Final answer
    x = 474.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.