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Finding the Fourth Proportional to 178.86, 247.02 and 142.50

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Solution

The fourth proportional to 178.86, 247.02 and 142.50 is: 196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.86 : 247.02 = 142.50 : x
  2. Step 2: Convert to fraction form
    178.86/247.02 = 142.50/x
  3. Step 3: Cross multiply
    178.86x = 247.02 × 142.50
  4. Step 4: Simplify right side
    178.86x = 35,200.35
  5. Step 5: Solve for x
    x = 35,200.35/178.86
  6. Step 6: Final answer
    x = 196.80

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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.