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Finding the Fourth Proportional to 160.14, 239.14 and 137.28

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Solution

The fourth proportional to 160.14, 239.14 and 137.28 is: 205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.14 : 239.14 = 137.28 : x
  2. Step 2: Convert to fraction form
    160.14/239.14 = 137.28/x
  3. Step 3: Cross multiply
    160.14x = 239.14 × 137.28
  4. Step 4: Simplify right side
    160.14x = 32,829.14
  5. Step 5: Solve for x
    x = 32,829.14/160.14
  6. Step 6: Final answer
    x = 205.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.