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Finding the Fourth Proportional to 176.53, 264.77 and 54.81

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Solution

The fourth proportional to 176.53, 264.77 and 54.81 is: 82.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.53 : 264.77 = 54.81 : x
  2. Step 2: Convert to fraction form
    176.53/264.77 = 54.81/x
  3. Step 3: Cross multiply
    176.53x = 264.77 × 54.81
  4. Step 4: Simplify right side
    176.53x = 14,512.04
  5. Step 5: Solve for x
    x = 14,512.04/176.53
  6. Step 6: Final answer
    x = 82.21

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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.