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Finding the Fourth Proportional to 242.58, 361.82 and 237.18

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Solution

The fourth proportional to 242.58, 361.82 and 237.18 is: 353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 361.82 = 237.18 : x
  2. Step 2: Convert to fraction form
    242.58/361.82 = 237.18/x
  3. Step 3: Cross multiply
    242.58x = 361.82 × 237.18
  4. Step 4: Simplify right side
    242.58x = 85,816.47
  5. Step 5: Solve for x
    x = 85,816.47/242.58
  6. Step 6: Final answer
    x = 353.77

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Why These Related Problems?

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