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Finding the Fourth Proportional to 407.12, 561.84 and 232.44

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Solution

The fourth proportional to 407.12, 561.84 and 232.44 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.12 : 561.84 = 232.44 : x
  2. Step 2: Convert to fraction form
    407.12/561.84 = 232.44/x
  3. Step 3: Cross multiply
    407.12x = 561.84 × 232.44
  4. Step 4: Simplify right side
    407.12x = 130,594.09
  5. Step 5: Solve for x
    x = 130,594.09/407.12
  6. Step 6: Final answer
    x = 320.78

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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.