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Finding the Fourth Proportional to 242.90, 362.81 and 236.42

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Solution

The fourth proportional to 242.90, 362.81 and 236.42 is: 353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.90 : 362.81 = 236.42 : x
  2. Step 2: Convert to fraction form
    242.90/362.81 = 236.42/x
  3. Step 3: Cross multiply
    242.90x = 362.81 × 236.42
  4. Step 4: Simplify right side
    242.90x = 85,775.54
  5. Step 5: Solve for x
    x = 85,775.54/242.90
  6. Step 6: Final answer
    x = 353.13

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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.