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Finding the Fourth Proportional to 178, 267.10 and 176.64

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Solution

The fourth proportional to 178, 267.10 and 176.64 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178 : 267.10 = 176.64 : x
  2. Step 2: Convert to fraction form
    178/267.10 = 176.64/x
  3. Step 3: Cross multiply
    178x = 267.10 × 176.64
  4. Step 4: Simplify right side
    178x = 47,180.54
  5. Step 5: Solve for x
    x = 47,180.54/178
  6. Step 6: Final answer
    x = 265.06

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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.