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Finding the Fourth Proportional to 446, 669.16 and 142

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Solution

The fourth proportional to 446, 669.16 and 142 is: 213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 669.16 = 142 : x
  2. Step 2: Convert to fraction form
    446/669.16 = 142/x
  3. Step 3: Cross multiply
    446x = 669.16 × 142
  4. Step 4: Simplify right side
    446x = 95,020.72
  5. Step 5: Solve for x
    x = 95,020.72/446
  6. Step 6: Final answer
    x = 213.05

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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.