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Finding the Fourth Proportional to 254.46, 382.13 and 242.92

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Solution

The fourth proportional to 254.46, 382.13 and 242.92 is: 364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.46 : 382.13 = 242.92 : x
  2. Step 2: Convert to fraction form
    254.46/382.13 = 242.92/x
  3. Step 3: Cross multiply
    254.46x = 382.13 × 242.92
  4. Step 4: Simplify right side
    254.46x = 92,827.02
  5. Step 5: Solve for x
    x = 92,827.02/254.46
  6. Step 6: Final answer
    x = 364.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.