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Finding the Fourth Proportional to 351.48, 485.10 and 209.76

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Solution

The fourth proportional to 351.48, 485.10 and 209.76 is: 289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.48 : 485.10 = 209.76 : x
  2. Step 2: Convert to fraction form
    351.48/485.10 = 209.76/x
  3. Step 3: Cross multiply
    351.48x = 485.10 × 209.76
  4. Step 4: Simplify right side
    351.48x = 101,754.58
  5. Step 5: Solve for x
    x = 101,754.58/351.48
  6. Step 6: Final answer
    x = 289.50

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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.