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Finding the Fourth Proportional to 445.58, 667.88 and 171.55

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Solution

The fourth proportional to 445.58, 667.88 and 171.55 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.58 : 667.88 = 171.55 : x
  2. Step 2: Convert to fraction form
    445.58/667.88 = 171.55/x
  3. Step 3: Cross multiply
    445.58x = 667.88 × 171.55
  4. Step 4: Simplify right side
    445.58x = 114,574.81
  5. Step 5: Solve for x
    x = 114,574.81/445.58
  6. Step 6: Final answer
    x = 257.14

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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.