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Finding the Fourth Proportional to 406.84, 561.44 and 232.20

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Solution

The fourth proportional to 406.84, 561.44 and 232.20 is: 320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.84 : 561.44 = 232.20 : x
  2. Step 2: Convert to fraction form
    406.84/561.44 = 232.20/x
  3. Step 3: Cross multiply
    406.84x = 561.44 × 232.20
  4. Step 4: Simplify right side
    406.84x = 130,366.37
  5. Step 5: Solve for x
    x = 130,366.37/406.84
  6. Step 6: Final answer
    x = 320.44

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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.