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Finding the Fourth Proportional to 178.94, 267.23 and 177.05

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Solution

The fourth proportional to 178.94, 267.23 and 177.05 is: 264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.94 : 267.23 = 177.05 : x
  2. Step 2: Convert to fraction form
    178.94/267.23 = 177.05/x
  3. Step 3: Cross multiply
    178.94x = 267.23 × 177.05
  4. Step 4: Simplify right side
    178.94x = 47,314.18
  5. Step 5: Solve for x
    x = 47,314.18/178.94
  6. Step 6: Final answer
    x = 264.41

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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.