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Finding the Fourth Proportional to 242.02, 331.81 and 237.64

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Solution

The fourth proportional to 242.02, 331.81 and 237.64 is: 325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 331.81 = 237.64 : x
  2. Step 2: Convert to fraction form
    242.02/331.81 = 237.64/x
  3. Step 3: Cross multiply
    242.02x = 331.81 × 237.64
  4. Step 4: Simplify right side
    242.02x = 78,851.33
  5. Step 5: Solve for x
    x = 78,851.33/242.02
  6. Step 6: Final answer
    x = 325.81

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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.