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Finding the Fourth Proportional to 160.54, 239.44 and 137.50

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Solution

The fourth proportional to 160.54, 239.44 and 137.50 is: 205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.54 : 239.44 = 137.50 : x
  2. Step 2: Convert to fraction form
    160.54/239.44 = 137.50/x
  3. Step 3: Cross multiply
    160.54x = 239.44 × 137.50
  4. Step 4: Simplify right side
    160.54x = 32,922.31
  5. Step 5: Solve for x
    x = 32,922.31/160.54
  6. Step 6: Final answer
    x = 205.07

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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.