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Finding the Fourth Proportional to 242.84, 333.14 and 236.46

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Solution

The fourth proportional to 242.84, 333.14 and 236.46 is: 324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.84 : 333.14 = 236.46 : x
  2. Step 2: Convert to fraction form
    242.84/333.14 = 236.46/x
  3. Step 3: Cross multiply
    242.84x = 333.14 × 236.46
  4. Step 4: Simplify right side
    242.84x = 78,774.28
  5. Step 5: Solve for x
    x = 78,774.28/242.84
  6. Step 6: Final answer
    x = 324.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.