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Finding the Fourth Proportional to 254.97, 384.10 and 191.25

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Solution

The fourth proportional to 254.97, 384.10 and 191.25 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.97 : 384.10 = 191.25 : x
  2. Step 2: Convert to fraction form
    254.97/384.10 = 191.25/x
  3. Step 3: Cross multiply
    254.97x = 384.10 × 191.25
  4. Step 4: Simplify right side
    254.97x = 73,458.65
  5. Step 5: Solve for x
    x = 73,458.65/254.97
  6. Step 6: Final answer
    x = 288.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.