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Finding the Fourth Proportional to 406.43, 561.76 and 296.67

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Solution

The fourth proportional to 406.43, 561.76 and 296.67 is: 410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.43 : 561.76 = 296.67 : x
  2. Step 2: Convert to fraction form
    406.43/561.76 = 296.67/x
  3. Step 3: Cross multiply
    406.43x = 561.76 × 296.67
  4. Step 4: Simplify right side
    406.43x = 166,657.34
  5. Step 5: Solve for x
    x = 166,657.34/406.43
  6. Step 6: Final answer
    x = 410.05

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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.