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Finding the Fourth Proportional to 159.79, 241.13 and 154.07

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Solution

The fourth proportional to 159.79, 241.13 and 154.07 is: 232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.79 : 241.13 = 154.07 : x
  2. Step 2: Convert to fraction form
    159.79/241.13 = 154.07/x
  3. Step 3: Cross multiply
    159.79x = 241.13 × 154.07
  4. Step 4: Simplify right side
    159.79x = 37,150.13
  5. Step 5: Solve for x
    x = 37,150.13/159.79
  6. Step 6: Final answer
    x = 232.49

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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.