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Finding the Fourth Proportional to 406.72, 561.09 and 313.30

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Solution

The fourth proportional to 406.72, 561.09 and 313.30 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.72 : 561.09 = 313.30 : x
  2. Step 2: Convert to fraction form
    406.72/561.09 = 313.30/x
  3. Step 3: Cross multiply
    406.72x = 561.09 × 313.30
  4. Step 4: Simplify right side
    406.72x = 175,789.50
  5. Step 5: Solve for x
    x = 175,789.50/406.72
  6. Step 6: Final answer
    x = 432.21

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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.