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Finding the Fourth Proportional to 406.70, 561.20 and 296.30

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Solution

The fourth proportional to 406.70, 561.20 and 296.30 is: 408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.70 : 561.20 = 296.30 : x
  2. Step 2: Convert to fraction form
    406.70/561.20 = 296.30/x
  3. Step 3: Cross multiply
    406.70x = 561.20 × 296.30
  4. Step 4: Simplify right side
    406.70x = 166,285.70
  5. Step 5: Solve for x
    x = 166,285.70/406.70
  6. Step 6: Final answer
    x = 408.86

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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.