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Finding the Fourth Proportional to 179.21, 267.03 and 172.58

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Solution

The fourth proportional to 179.21, 267.03 and 172.58 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.21 : 267.03 = 172.58 : x
  2. Step 2: Convert to fraction form
    179.21/267.03 = 172.58/x
  3. Step 3: Cross multiply
    179.21x = 267.03 × 172.58
  4. Step 4: Simplify right side
    179.21x = 46,082.70
  5. Step 5: Solve for x
    x = 46,082.70/179.21
  6. Step 6: Final answer
    x = 257.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.