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Finding the Fourth Proportional to 119.08, 178.26 and 78.40

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Solution

The fourth proportional to 119.08, 178.26 and 78.40 is: 117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.08 : 178.26 = 78.40 : x
  2. Step 2: Convert to fraction form
    119.08/178.26 = 78.40/x
  3. Step 3: Cross multiply
    119.08x = 178.26 × 78.40
  4. Step 4: Simplify right side
    119.08x = 13,975.58
  5. Step 5: Solve for x
    x = 13,975.58/119.08
  6. Step 6: Final answer
    x = 117.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.