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Finding the Fourth Proportional to 258.44, 384.89 and 242.73

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Solution

The fourth proportional to 258.44, 384.89 and 242.73 is: 361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 384.89 = 242.73 : x
  2. Step 2: Convert to fraction form
    258.44/384.89 = 242.73/x
  3. Step 3: Cross multiply
    258.44x = 384.89 × 242.73
  4. Step 4: Simplify right side
    258.44x = 93,423.14
  5. Step 5: Solve for x
    x = 93,423.14/258.44
  6. Step 6: Final answer
    x = 361.50

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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.