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Finding the Fourth Proportional to 178.50, 246.39 and 113.10

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Solution

The fourth proportional to 178.50, 246.39 and 113.10 is: 156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 246.39 = 113.10 : x
  2. Step 2: Convert to fraction form
    178.50/246.39 = 113.10/x
  3. Step 3: Cross multiply
    178.50x = 246.39 × 113.10
  4. Step 4: Simplify right side
    178.50x = 27,866.71
  5. Step 5: Solve for x
    x = 27,866.71/178.50
  6. Step 6: Final answer
    x = 156.12

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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.