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Finding the Fourth Proportional to 159.99, 240.05 and 114.22

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Solution

The fourth proportional to 159.99, 240.05 and 114.22 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.99 : 240.05 = 114.22 : x
  2. Step 2: Convert to fraction form
    159.99/240.05 = 114.22/x
  3. Step 3: Cross multiply
    159.99x = 240.05 × 114.22
  4. Step 4: Simplify right side
    159.99x = 27,418.51
  5. Step 5: Solve for x
    x = 27,418.51/159.99
  6. Step 6: Final answer
    x = 171.38

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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.