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Finding the Fourth Proportional to 160.66, 240.45 and 140.14

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Solution

The fourth proportional to 160.66, 240.45 and 140.14 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.66 : 240.45 = 140.14 : x
  2. Step 2: Convert to fraction form
    160.66/240.45 = 140.14/x
  3. Step 3: Cross multiply
    160.66x = 240.45 × 140.14
  4. Step 4: Simplify right side
    160.66x = 33,696.66
  5. Step 5: Solve for x
    x = 33,696.66/160.66
  6. Step 6: Final answer
    x = 209.74

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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.