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Finding the Fourth Proportional to 242.89, 335.33 and 190.33

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Solution

The fourth proportional to 242.89, 335.33 and 190.33 is: 262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.89 : 335.33 = 190.33 : x
  2. Step 2: Convert to fraction form
    242.89/335.33 = 190.33/x
  3. Step 3: Cross multiply
    242.89x = 335.33 × 190.33
  4. Step 4: Simplify right side
    242.89x = 63,823.36
  5. Step 5: Solve for x
    x = 63,823.36/242.89
  6. Step 6: Final answer
    x = 262.77

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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.