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Finding the Fourth Proportional to 382.37, 572.78 and 176.66

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Solution

The fourth proportional to 382.37, 572.78 and 176.66 is: 264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.37 : 572.78 = 176.66 : x
  2. Step 2: Convert to fraction form
    382.37/572.78 = 176.66/x
  3. Step 3: Cross multiply
    382.37x = 572.78 × 176.66
  4. Step 4: Simplify right side
    382.37x = 101,187.04
  5. Step 5: Solve for x
    x = 101,187.04/382.37
  6. Step 6: Final answer
    x = 264.63

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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.