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Finding the Fourth Proportional to 446.57, 669.56 and 215.51

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Solution

The fourth proportional to 446.57, 669.56 and 215.51 is: 323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.57 : 669.56 = 215.51 : x
  2. Step 2: Convert to fraction form
    446.57/669.56 = 215.51/x
  3. Step 3: Cross multiply
    446.57x = 669.56 × 215.51
  4. Step 4: Simplify right side
    446.57x = 144,296.88
  5. Step 5: Solve for x
    x = 144,296.88/446.57
  6. Step 6: Final answer
    x = 323.13

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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.