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Finding the Fourth Proportional to 242.75, 362.47 and 190.80

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Solution

The fourth proportional to 242.75, 362.47 and 190.80 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.75 : 362.47 = 190.80 : x
  2. Step 2: Convert to fraction form
    242.75/362.47 = 190.80/x
  3. Step 3: Cross multiply
    242.75x = 362.47 × 190.80
  4. Step 4: Simplify right side
    242.75x = 69,160.18
  5. Step 5: Solve for x
    x = 69,160.18/242.75
  6. Step 6: Final answer
    x = 284.91

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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.