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Finding the Fourth Proportional to 258.07, 385.10 and 251.89

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Solution

The fourth proportional to 258.07, 385.10 and 251.89 is: 375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.07 : 385.10 = 251.89 : x
  2. Step 2: Convert to fraction form
    258.07/385.10 = 251.89/x
  3. Step 3: Cross multiply
    258.07x = 385.10 × 251.89
  4. Step 4: Simplify right side
    258.07x = 97,003.02
  5. Step 5: Solve for x
    x = 97,003.02/258.07
  6. Step 6: Final answer
    x = 375.88

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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.