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Finding the Fourth Proportional to 178.10, 245.92 and 137.06

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Solution

The fourth proportional to 178.10, 245.92 and 137.06 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.10 : 245.92 = 137.06 : x
  2. Step 2: Convert to fraction form
    178.10/245.92 = 137.06/x
  3. Step 3: Cross multiply
    178.10x = 245.92 × 137.06
  4. Step 4: Simplify right side
    178.10x = 33,705.80
  5. Step 5: Solve for x
    x = 33,705.80/178.10
  6. Step 6: Final answer
    x = 189.25

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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.