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Finding the Fourth Proportional to 325.74, 448.43 and 242.58

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Solution

The fourth proportional to 325.74, 448.43 and 242.58 is: 333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.74 : 448.43 = 242.58 : x
  2. Step 2: Convert to fraction form
    325.74/448.43 = 242.58/x
  3. Step 3: Cross multiply
    325.74x = 448.43 × 242.58
  4. Step 4: Simplify right side
    325.74x = 108,778.94
  5. Step 5: Solve for x
    x = 108,778.94/325.74
  6. Step 6: Final answer
    x = 333.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.