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Finding the Fourth Proportional to 406.44, 560.78 and 231.76

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Solution

The fourth proportional to 406.44, 560.78 and 231.76 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 560.78 = 231.76 : x
  2. Step 2: Convert to fraction form
    406.44/560.78 = 231.76/x
  3. Step 3: Cross multiply
    406.44x = 560.78 × 231.76
  4. Step 4: Simplify right side
    406.44x = 129,966.37
  5. Step 5: Solve for x
    x = 129,966.37/406.44
  6. Step 6: Final answer
    x = 319.77

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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.