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Finding the Fourth Proportional to 176.21, 264.31 and 68.02

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Solution

The fourth proportional to 176.21, 264.31 and 68.02 is: 102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.21 : 264.31 = 68.02 : x
  2. Step 2: Convert to fraction form
    176.21/264.31 = 68.02/x
  3. Step 3: Cross multiply
    176.21x = 264.31 × 68.02
  4. Step 4: Simplify right side
    176.21x = 17,977.54
  5. Step 5: Solve for x
    x = 17,977.54/176.21
  6. Step 6: Final answer
    x = 102.03

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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.