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Finding the Fourth Proportional to 258.06, 384.80 and 254.88

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Solution

The fourth proportional to 258.06, 384.80 and 254.88 is: 380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.06 : 384.80 = 254.88 : x
  2. Step 2: Convert to fraction form
    258.06/384.80 = 254.88/x
  3. Step 3: Cross multiply
    258.06x = 384.80 × 254.88
  4. Step 4: Simplify right side
    258.06x = 98,077.82
  5. Step 5: Solve for x
    x = 98,077.82/258.06
  6. Step 6: Final answer
    x = 380.06

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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.