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Finding the Fourth Proportional to 178.33, 267.50 and 109.81

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Solution

The fourth proportional to 178.33, 267.50 and 109.81 is: 164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.33 : 267.50 = 109.81 : x
  2. Step 2: Convert to fraction form
    178.33/267.50 = 109.81/x
  3. Step 3: Cross multiply
    178.33x = 267.50 × 109.81
  4. Step 4: Simplify right side
    178.33x = 29,374.18
  5. Step 5: Solve for x
    x = 29,374.18/178.33
  6. Step 6: Final answer
    x = 164.72

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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.