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Finding the Fourth Proportional to 254.30, 378.77 and 242.45

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Solution

The fourth proportional to 254.30, 378.77 and 242.45 is: 361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.30 : 378.77 = 242.45 : x
  2. Step 2: Convert to fraction form
    254.30/378.77 = 242.45/x
  3. Step 3: Cross multiply
    254.30x = 378.77 × 242.45
  4. Step 4: Simplify right side
    254.30x = 91,829.68
  5. Step 5: Solve for x
    x = 91,829.68/254.30
  6. Step 6: Final answer
    x = 361.11

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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.