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Finding the Fourth Proportional to 178.67, 246.54 and 145.86

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Solution

The fourth proportional to 178.67, 246.54 and 145.86 is: 201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.67 : 246.54 = 145.86 : x
  2. Step 2: Convert to fraction form
    178.67/246.54 = 145.86/x
  3. Step 3: Cross multiply
    178.67x = 246.54 × 145.86
  4. Step 4: Simplify right side
    178.67x = 35,960.32
  5. Step 5: Solve for x
    x = 35,960.32/178.67
  6. Step 6: Final answer
    x = 201.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.