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Finding the Fourth Proportional to 242.46, 361.53 and 239.49

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Solution

The fourth proportional to 242.46, 361.53 and 239.49 is: 357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.46 : 361.53 = 239.49 : x
  2. Step 2: Convert to fraction form
    242.46/361.53 = 239.49/x
  3. Step 3: Cross multiply
    242.46x = 361.53 × 239.49
  4. Step 4: Simplify right side
    242.46x = 86,582.82
  5. Step 5: Solve for x
    x = 86,582.82/242.46
  6. Step 6: Final answer
    x = 357.10

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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.