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Finding the Fourth Proportional to 406.18, 561.02 and 295.48

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Solution

The fourth proportional to 406.18, 561.02 and 295.48 is: 408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.18 : 561.02 = 295.48 : x
  2. Step 2: Convert to fraction form
    406.18/561.02 = 295.48/x
  3. Step 3: Cross multiply
    406.18x = 561.02 × 295.48
  4. Step 4: Simplify right side
    406.18x = 165,770.19
  5. Step 5: Solve for x
    x = 165,770.19/406.18
  6. Step 6: Final answer
    x = 408.12

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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.