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Finding the Fourth Proportional to 179.37, 245.40 and 178.61

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Solution

The fourth proportional to 179.37, 245.40 and 178.61 is: 244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.37 : 245.40 = 178.61 : x
  2. Step 2: Convert to fraction form
    179.37/245.40 = 178.61/x
  3. Step 3: Cross multiply
    179.37x = 245.40 × 178.61
  4. Step 4: Simplify right side
    179.37x = 43,830.50
  5. Step 5: Solve for x
    x = 43,830.50/179.37
  6. Step 6: Final answer
    x = 244.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.