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Finding the Fourth Proportional to 242.16, 331.32 and 241.14

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Solution

The fourth proportional to 242.16, 331.32 and 241.14 is: 329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 331.32 = 241.14 : x
  2. Step 2: Convert to fraction form
    242.16/331.32 = 241.14/x
  3. Step 3: Cross multiply
    242.16x = 331.32 × 241.14
  4. Step 4: Simplify right side
    242.16x = 79,894.50
  5. Step 5: Solve for x
    x = 79,894.50/242.16
  6. Step 6: Final answer
    x = 329.92

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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.