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Finding the Fourth Proportional to 242.24, 362.90 and 193.49

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Solution

The fourth proportional to 242.24, 362.90 and 193.49 is: 289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.24 : 362.90 = 193.49 : x
  2. Step 2: Convert to fraction form
    242.24/362.90 = 193.49/x
  3. Step 3: Cross multiply
    242.24x = 362.90 × 193.49
  4. Step 4: Simplify right side
    242.24x = 70,214.74
  5. Step 5: Solve for x
    x = 70,214.74/242.24
  6. Step 6: Final answer
    x = 289.86

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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.