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Finding the Fourth Proportional to 258.15, 389.01 and 245.79

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Solution

The fourth proportional to 258.15, 389.01 and 245.79 is: 370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.15 : 389.01 = 245.79 : x
  2. Step 2: Convert to fraction form
    258.15/389.01 = 245.79/x
  3. Step 3: Cross multiply
    258.15x = 389.01 × 245.79
  4. Step 4: Simplify right side
    258.15x = 95,614.77
  5. Step 5: Solve for x
    x = 95,614.77/258.15
  6. Step 6: Final answer
    x = 370.38

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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.