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Finding the Fourth Proportional to 242.24, 334.08 and 207.68

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Solution

The fourth proportional to 242.24, 334.08 and 207.68 is: 286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.24 : 334.08 = 207.68 : x
  2. Step 2: Convert to fraction form
    242.24/334.08 = 207.68/x
  3. Step 3: Cross multiply
    242.24x = 334.08 × 207.68
  4. Step 4: Simplify right side
    242.24x = 69,381.73
  5. Step 5: Solve for x
    x = 69,381.73/242.24
  6. Step 6: Final answer
    x = 286.42

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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.