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Finding the Fourth Proportional to 178.48, 267.13 and 120.45

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Solution

The fourth proportional to 178.48, 267.13 and 120.45 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 267.13 = 120.45 : x
  2. Step 2: Convert to fraction form
    178.48/267.13 = 120.45/x
  3. Step 3: Cross multiply
    178.48x = 267.13 × 120.45
  4. Step 4: Simplify right side
    178.48x = 32,175.81
  5. Step 5: Solve for x
    x = 32,175.81/178.48
  6. Step 6: Final answer
    x = 180.28

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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.