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Finding the Fourth Proportional to 160.78, 240.68 and 120.36

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Solution

The fourth proportional to 160.78, 240.68 and 120.36 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.78 : 240.68 = 120.36 : x
  2. Step 2: Convert to fraction form
    160.78/240.68 = 120.36/x
  3. Step 3: Cross multiply
    160.78x = 240.68 × 120.36
  4. Step 4: Simplify right side
    160.78x = 28,968.24
  5. Step 5: Solve for x
    x = 28,968.24/160.78
  6. Step 6: Final answer
    x = 180.17

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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.