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Finding the Fourth Proportional to 254.94, 380.53 and 233.29

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Solution

The fourth proportional to 254.94, 380.53 and 233.29 is: 348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.94 : 380.53 = 233.29 : x
  2. Step 2: Convert to fraction form
    254.94/380.53 = 233.29/x
  3. Step 3: Cross multiply
    254.94x = 380.53 × 233.29
  4. Step 4: Simplify right side
    254.94x = 88,773.84
  5. Step 5: Solve for x
    x = 88,773.84/254.94
  6. Step 6: Final answer
    x = 348.21

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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.