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Finding the Fourth Proportional to 160.36, 240.39 and 78.05

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Solution

The fourth proportional to 160.36, 240.39 and 78.05 is: 116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.36 : 240.39 = 78.05 : x
  2. Step 2: Convert to fraction form
    160.36/240.39 = 78.05/x
  3. Step 3: Cross multiply
    160.36x = 240.39 × 78.05
  4. Step 4: Simplify right side
    160.36x = 18,761.24
  5. Step 5: Solve for x
    x = 18,761.24/160.36
  6. Step 6: Final answer
    x = 116.99

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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.