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Finding the Fourth Proportional to 176.14, 262.72 and 172.90

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Solution

The fourth proportional to 176.14, 262.72 and 172.90 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.14 : 262.72 = 172.90 : x
  2. Step 2: Convert to fraction form
    176.14/262.72 = 172.90/x
  3. Step 3: Cross multiply
    176.14x = 262.72 × 172.90
  4. Step 4: Simplify right side
    176.14x = 45,423.42
  5. Step 5: Solve for x
    x = 45,423.42/176.14
  6. Step 6: Final answer
    x = 257.88

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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.