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Finding the Fourth Proportional to 242.80, 335.25 and 160.02

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Solution

The fourth proportional to 242.80, 335.25 and 160.02 is: 220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.80 : 335.25 = 160.02 : x
  2. Step 2: Convert to fraction form
    242.80/335.25 = 160.02/x
  3. Step 3: Cross multiply
    242.80x = 335.25 × 160.02
  4. Step 4: Simplify right side
    242.80x = 53,645.68
  5. Step 5: Solve for x
    x = 53,645.68/242.80
  6. Step 6: Final answer
    x = 220.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.