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Finding the Fourth Proportional to 242.96, 362.79 and 193.66

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Solution

The fourth proportional to 242.96, 362.79 and 193.66 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 362.79 = 193.66 : x
  2. Step 2: Convert to fraction form
    242.96/362.79 = 193.66/x
  3. Step 3: Cross multiply
    242.96x = 362.79 × 193.66
  4. Step 4: Simplify right side
    242.96x = 70,257.91
  5. Step 5: Solve for x
    x = 70,257.91/242.96
  6. Step 6: Final answer
    x = 289.17

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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.