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Finding the Fourth Proportional to 159, 238.46 and 56.25

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Solution

The fourth proportional to 159, 238.46 and 56.25 is: 84.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 238.46 = 56.25 : x
  2. Step 2: Convert to fraction form
    159/238.46 = 56.25/x
  3. Step 3: Cross multiply
    159x = 238.46 × 56.25
  4. Step 4: Simplify right side
    159x = 13,413.09
  5. Step 5: Solve for x
    x = 13,413.09/159
  6. Step 6: Final answer
    x = 84.36

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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.