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Finding the Fourth Proportional to 159.93, 239.40 and 138.06

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Solution

The fourth proportional to 159.93, 239.40 and 138.06 is: 206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.93 : 239.40 = 138.06 : x
  2. Step 2: Convert to fraction form
    159.93/239.40 = 138.06/x
  3. Step 3: Cross multiply
    159.93x = 239.40 × 138.06
  4. Step 4: Simplify right side
    159.93x = 33,051.56
  5. Step 5: Solve for x
    x = 33,051.56/159.93
  6. Step 6: Final answer
    x = 206.66

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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.