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Finding the Fourth Proportional to 242.46, 333.36 and 211.14

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Solution

The fourth proportional to 242.46, 333.36 and 211.14 is: 290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.46 : 333.36 = 211.14 : x
  2. Step 2: Convert to fraction form
    242.46/333.36 = 211.14/x
  3. Step 3: Cross multiply
    242.46x = 333.36 × 211.14
  4. Step 4: Simplify right side
    242.46x = 70,385.63
  5. Step 5: Solve for x
    x = 70,385.63/242.46
  6. Step 6: Final answer
    x = 290.30

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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.