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Finding the Fourth Proportional to 159.77, 241.03 and 153.39

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Solution

The fourth proportional to 159.77, 241.03 and 153.39 is: 231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 241.03 = 153.39 : x
  2. Step 2: Convert to fraction form
    159.77/241.03 = 153.39/x
  3. Step 3: Cross multiply
    159.77x = 241.03 × 153.39
  4. Step 4: Simplify right side
    159.77x = 36,971.82
  5. Step 5: Solve for x
    x = 36,971.82/159.77
  6. Step 6: Final answer
    x = 231.40

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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.