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Finding the Fourth Proportional to 160.08, 238.74 and 138.56

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Solution

The fourth proportional to 160.08, 238.74 and 138.56 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.08 : 238.74 = 138.56 : x
  2. Step 2: Convert to fraction form
    160.08/238.74 = 138.56/x
  3. Step 3: Cross multiply
    160.08x = 238.74 × 138.56
  4. Step 4: Simplify right side
    160.08x = 33,079.81
  5. Step 5: Solve for x
    x = 33,079.81/160.08
  6. Step 6: Final answer
    x = 206.65

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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.