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Finding the Fourth Proportional to 406.83, 561.77 and 340.41

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Solution

The fourth proportional to 406.83, 561.77 and 340.41 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.83 : 561.77 = 340.41 : x
  2. Step 2: Convert to fraction form
    406.83/561.77 = 340.41/x
  3. Step 3: Cross multiply
    406.83x = 561.77 × 340.41
  4. Step 4: Simplify right side
    406.83x = 191,232.13
  5. Step 5: Solve for x
    x = 191,232.13/406.83
  6. Step 6: Final answer
    x = 470.05

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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.