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Finding the Fourth Proportional to 159.82, 240.80 and 147.37

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Solution

The fourth proportional to 159.82, 240.80 and 147.37 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.82 : 240.80 = 147.37 : x
  2. Step 2: Convert to fraction form
    159.82/240.80 = 147.37/x
  3. Step 3: Cross multiply
    159.82x = 240.80 × 147.37
  4. Step 4: Simplify right side
    159.82x = 35,486.22
  5. Step 5: Solve for x
    x = 35,486.22/159.82
  6. Step 6: Final answer
    x = 222.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.