Home / 160.20-240.74-137.40

Finding the Fourth Proportional to 160.20, 240.74 and 137.40

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Solution

The fourth proportional to 160.20, 240.74 and 137.40 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 240.74 = 137.40 : x
  2. Step 2: Convert to fraction form
    160.20/240.74 = 137.40/x
  3. Step 3: Cross multiply
    160.20x = 240.74 × 137.40
  4. Step 4: Simplify right side
    160.20x = 33,076.99
  5. Step 5: Solve for x
    x = 33,076.99/160.20
  6. Step 6: Final answer
    x = 206.47

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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.