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Finding the Fourth Proportional to 446.50, 669.21 and 215.11

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Solution

The fourth proportional to 446.50, 669.21 and 215.11 is: 322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 669.21 = 215.11 : x
  2. Step 2: Convert to fraction form
    446.50/669.21 = 215.11/x
  3. Step 3: Cross multiply
    446.50x = 669.21 × 215.11
  4. Step 4: Simplify right side
    446.50x = 143,953.76
  5. Step 5: Solve for x
    x = 143,953.76/446.50
  6. Step 6: Final answer
    x = 322.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.