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Finding the Fourth Proportional to 160.53, 240.70 and 106.33

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Solution

The fourth proportional to 160.53, 240.70 and 106.33 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 240.70 = 106.33 : x
  2. Step 2: Convert to fraction form
    160.53/240.70 = 106.33/x
  3. Step 3: Cross multiply
    160.53x = 240.70 × 106.33
  4. Step 4: Simplify right side
    160.53x = 25,593.63
  5. Step 5: Solve for x
    x = 25,593.63/160.53
  6. Step 6: Final answer
    x = 159.43

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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.