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Finding the Fourth Proportional to 160.44, 239.55 and 157.61

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Solution

The fourth proportional to 160.44, 239.55 and 157.61 is: 235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 239.55 = 157.61 : x
  2. Step 2: Convert to fraction form
    160.44/239.55 = 157.61/x
  3. Step 3: Cross multiply
    160.44x = 239.55 × 157.61
  4. Step 4: Simplify right side
    160.44x = 37,754.87
  5. Step 5: Solve for x
    x = 37,754.87/160.44
  6. Step 6: Final answer
    x = 235.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.