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Finding the Fourth Proportional to 178.72, 246.57 and 105.02

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Solution

The fourth proportional to 178.72, 246.57 and 105.02 is: 144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.72 : 246.57 = 105.02 : x
  2. Step 2: Convert to fraction form
    178.72/246.57 = 105.02/x
  3. Step 3: Cross multiply
    178.72x = 246.57 × 105.02
  4. Step 4: Simplify right side
    178.72x = 25,894.78
  5. Step 5: Solve for x
    x = 25,894.78/178.72
  6. Step 6: Final answer
    x = 144.89

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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.