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Finding the Fourth Proportional to 354.48, 485.70 and 342.20

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Solution

The fourth proportional to 354.48, 485.70 and 342.20 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.48 : 485.70 = 342.20 : x
  2. Step 2: Convert to fraction form
    354.48/485.70 = 342.20/x
  3. Step 3: Cross multiply
    354.48x = 485.70 × 342.20
  4. Step 4: Simplify right side
    354.48x = 166,206.54
  5. Step 5: Solve for x
    x = 166,206.54/354.48
  6. Step 6: Final answer
    x = 468.87

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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.