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Finding the Fourth Proportional to 254.94, 380.36 and 242.70

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Solution

The fourth proportional to 254.94, 380.36 and 242.70 is: 362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.94 : 380.36 = 242.70 : x
  2. Step 2: Convert to fraction form
    254.94/380.36 = 242.70/x
  3. Step 3: Cross multiply
    254.94x = 380.36 × 242.70
  4. Step 4: Simplify right side
    254.94x = 92,313.37
  5. Step 5: Solve for x
    x = 92,313.37/254.94
  6. Step 6: Final answer
    x = 362.10

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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.