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Finding the Fourth Proportional to 176.94, 264.06 and 172.62

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Solution

The fourth proportional to 176.94, 264.06 and 172.62 is: 257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 264.06 = 172.62 : x
  2. Step 2: Convert to fraction form
    176.94/264.06 = 172.62/x
  3. Step 3: Cross multiply
    176.94x = 264.06 × 172.62
  4. Step 4: Simplify right side
    176.94x = 45,582.04
  5. Step 5: Solve for x
    x = 45,582.04/176.94
  6. Step 6: Final answer
    x = 257.61

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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.