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Finding the Fourth Proportional to 242.49, 333.90 and 209.01

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Solution

The fourth proportional to 242.49, 333.90 and 209.01 is: 287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.49 : 333.90 = 209.01 : x
  2. Step 2: Convert to fraction form
    242.49/333.90 = 209.01/x
  3. Step 3: Cross multiply
    242.49x = 333.90 × 209.01
  4. Step 4: Simplify right side
    242.49x = 69,788.44
  5. Step 5: Solve for x
    x = 69,788.44/242.49
  6. Step 6: Final answer
    x = 287.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.