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Finding the Fourth Proportional to 446.04, 668.86 and 185.89

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Solution

The fourth proportional to 446.04, 668.86 and 185.89 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.04 : 668.86 = 185.89 : x
  2. Step 2: Convert to fraction form
    446.04/668.86 = 185.89/x
  3. Step 3: Cross multiply
    446.04x = 668.86 × 185.89
  4. Step 4: Simplify right side
    446.04x = 124,330.92
  5. Step 5: Solve for x
    x = 124,330.92/446.04
  6. Step 6: Final answer
    x = 278.74

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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.