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Finding the Fourth Proportional to 242.70, 361.08 and 241.89

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Solution

The fourth proportional to 242.70, 361.08 and 241.89 is: 359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.70 : 361.08 = 241.89 : x
  2. Step 2: Convert to fraction form
    242.70/361.08 = 241.89/x
  3. Step 3: Cross multiply
    242.70x = 361.08 × 241.89
  4. Step 4: Simplify right side
    242.70x = 87,341.64
  5. Step 5: Solve for x
    x = 87,341.64/242.70
  6. Step 6: Final answer
    x = 359.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.