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Finding the Fourth Proportional to 406.69, 561.31 and 240.95

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Solution

The fourth proportional to 406.69, 561.31 and 240.95 is: 332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.69 : 561.31 = 240.95 : x
  2. Step 2: Convert to fraction form
    406.69/561.31 = 240.95/x
  3. Step 3: Cross multiply
    406.69x = 561.31 × 240.95
  4. Step 4: Simplify right side
    406.69x = 135,248.45
  5. Step 5: Solve for x
    x = 135,248.45/406.69
  6. Step 6: Final answer
    x = 332.56

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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.