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Finding the Fourth Proportional to 160.19, 239.76 and 105.39

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Solution

The fourth proportional to 160.19, 239.76 and 105.39 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.19 : 239.76 = 105.39 : x
  2. Step 2: Convert to fraction form
    160.19/239.76 = 105.39/x
  3. Step 3: Cross multiply
    160.19x = 239.76 × 105.39
  4. Step 4: Simplify right side
    160.19x = 25,268.31
  5. Step 5: Solve for x
    x = 25,268.31/160.19
  6. Step 6: Final answer
    x = 157.74

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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.