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Finding the Fourth Proportional to 254.92, 379.85 and 242.53

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Solution

The fourth proportional to 254.92, 379.85 and 242.53 is: 361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 379.85 = 242.53 : x
  2. Step 2: Convert to fraction form
    254.92/379.85 = 242.53/x
  3. Step 3: Cross multiply
    254.92x = 379.85 × 242.53
  4. Step 4: Simplify right side
    254.92x = 92,124.67
  5. Step 5: Solve for x
    x = 92,124.67/254.92
  6. Step 6: Final answer
    x = 361.38

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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.