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Finding the Fourth Proportional to 160.06, 239.99 and 140.84

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Solution

The fourth proportional to 160.06, 239.99 and 140.84 is: 211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.06 : 239.99 = 140.84 : x
  2. Step 2: Convert to fraction form
    160.06/239.99 = 140.84/x
  3. Step 3: Cross multiply
    160.06x = 239.99 × 140.84
  4. Step 4: Simplify right side
    160.06x = 33,798.82
  5. Step 5: Solve for x
    x = 33,798.82/160.06
  6. Step 6: Final answer
    x = 211.17

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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.