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Finding the Fourth Proportional to 354.01, 485.91 and 313.78

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Solution

The fourth proportional to 354.01, 485.91 and 313.78 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.01 : 485.91 = 313.78 : x
  2. Step 2: Convert to fraction form
    354.01/485.91 = 313.78/x
  3. Step 3: Cross multiply
    354.01x = 485.91 × 313.78
  4. Step 4: Simplify right side
    354.01x = 152,469.02
  5. Step 5: Solve for x
    x = 152,469.02/354.01
  6. Step 6: Final answer
    x = 430.69

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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.